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Finding the Fourth Proportional to 649,817.52, 974,726.28 and 428,149.68

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Solution

The fourth proportional to 649,817.52, 974,726.28 and 428,149.68 is: 642,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,817.52 : 974,726.28 = 428,149.68 : x
  2. Step 2: Convert to fraction form
    649,817.52/974,726.28 = 428,149.68/x
  3. Step 3: Cross multiply
    649,817.52x = 974,726.28 × 428,149.68
  4. Step 4: Simplify right side
    649,817.52x = 417,328,744,869.59
  5. Step 5: Solve for x
    x = 417,328,744,869.59/649,817.52
  6. Step 6: Final answer
    x = 642,224.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.