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Finding the Fourth Proportional to 728,765.52, 1,005,698.17 and 406,496.49

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Solution

The fourth proportional to 728,765.52, 1,005,698.17 and 406,496.49 is: 560,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,765.52 : 1,005,698.17 = 406,496.49 : x
  2. Step 2: Convert to fraction form
    728,765.52/1,005,698.17 = 406,496.49/x
  3. Step 3: Cross multiply
    728,765.52x = 1,005,698.17 × 406,496.49
  4. Step 4: Simplify right side
    728,765.52x = 408,812,776,104.42
  5. Step 5: Solve for x
    x = 408,812,776,104.42/728,765.52
  6. Step 6: Final answer
    x = 560,966.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.