Finding the Fourth Proportional to 736,107.24, 1,015,864.02 and 413,918.40
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Solution
The fourth proportional to 736,107.24, 1,015,864.02 and 413,918.40 is: 571,227.65
Step by Step Solution
- Step 1: Write the proportion equation
736,107.24 : 1,015,864.02 = 413,918.40 : x - Step 2: Convert to fraction form
736,107.24/1,015,864.02 = 413,918.40/x - Step 3: Cross multiply
736,107.24x = 1,015,864.02 × 413,918.40 - Step 4: Simplify right side
736,107.24x = 420,484,809,775.97 - Step 5: Solve for x
x = 420,484,809,775.97/736,107.24 - Step 6: Final answer
x = 571,227.65
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1.5x scale
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.