1. **Problem statement:**
Given a charity association contributed $\frac{5}{12}$ of the total amount, the municipality contributed $\frac{2}{4}$, and the rest was contributed by a group of benefactors. The total amount is 300000.
2. **Show that the municipality contributed a larger share than the charity association:**
We compare the fractions $\frac{5}{12}$ and $\frac{2}{4}$.
Convert $\frac{2}{4}$ to $\frac{6}{12}$ to have a common denominator.
Since $\frac{6}{12} > \frac{5}{12}$, the municipality contributed more.
3. **Express the fraction contributed by the benefactors:**
Total contribution fractions sum to 1:
$$\text{Benefactors' share} = 1 - \left(\frac{5}{12} + \frac{2}{4}\right) = 1 - \left(\frac{5}{12} + \frac{6}{12}\right) = 1 - \frac{11}{12} = \frac{1}{12}$$
4. **Calculate the amount contributed by the benefactors and the charity association together:**
Sum of their shares:
$$\frac{5}{12} + \frac{1}{12} = \frac{6}{12} = \frac{1}{2}$$
Amount contributed:
$$300000 \times \frac{1}{2} = 150000$$
**Final answer:** The benefactors and the charity association together contributed 150000.
Charity Contributions 332756
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