1. **State the problem:** A building is valued at 241000. Its value increases by 4.5%. We need to find the new value after the increase. 2. **Formula used:** To find the new value after a percentage increase, use the formula: $$\text{New Value} = \text{Original Value} \times \left(1 + \frac{\text{Percentage Increase}}{100}\right)$$ 3. **Apply the values:** Here, the original value is 241000 and the percentage increase is 4.5. Substitute these into the formula: $$\text{New Value} = 241000 \times \left(1 + \frac{4.5}{100}\right)$$ 4. **Simplify the expression:** $$1 + \frac{4.5}{100} = 1 + 0.045 = 1.045$$ 5. **Calculate the new value:** $$\text{New Value} = 241000 \times 1.045 = 251845$$ 6. **Interpretation:** The new value of the building after a 4.5% increase is 251845. **Final answer:** The building's new value is 251845.