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Finding the Fourth Proportional to 728,758.89, 1,005,689.01 and 406,489.86

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Solution

The fourth proportional to 728,758.89, 1,005,689.01 and 406,489.86 is: 560,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,758.89 : 1,005,689.01 = 406,489.86 : x
  2. Step 2: Convert to fraction form
    728,758.89/1,005,689.01 = 406,489.86/x
  3. Step 3: Cross multiply
    728,758.89x = 1,005,689.01 × 406,489.86
  4. Step 4: Simplify right side
    728,758.89x = 408,802,386,402.78
  5. Step 5: Solve for x
    x = 408,802,386,402.78/728,758.89
  6. Step 6: Final answer
    x = 560,956.98

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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.