Finding the Fourth Proportional to 410,354.24, 566,317.32 and 229,101.80
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Solution
The fourth proportional to 410,354.24, 566,317.32 and 229,101.80 is: 316,176.38
Step by Step Solution
- Step 1: Write the proportion equation
410,354.24 : 566,317.32 = 229,101.80 : x - Step 2: Convert to fraction form
410,354.24/566,317.32 = 229,101.80/x - Step 3: Cross multiply
410,354.24x = 566,317.32 × 229,101.80 - Step 4: Simplify right side
410,354.24x = 129,744,317,383.18 - Step 5: Solve for x
x = 129,744,317,383.18/410,354.24 - Step 6: Final answer
x = 316,176.38
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.