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Finding the Fourth Proportional to 728,761.20, 1,005,691.80 and 406,492.20

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Solution

The fourth proportional to 728,761.20, 1,005,691.80 and 406,492.20 is: 560,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,761.20 : 1,005,691.80 = 406,492.20 : x
  2. Step 2: Convert to fraction form
    728,761.20/1,005,691.80 = 406,492.20/x
  3. Step 3: Cross multiply
    728,761.20x = 1,005,691.80 × 406,492.20
  4. Step 4: Simplify right side
    728,761.20x = 408,805,872,303.96
  5. Step 5: Solve for x
    x = 408,805,872,303.96/728,761.20
  6. Step 6: Final answer
    x = 560,959.99

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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.