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Finding the Fourth Proportional to 458,125.38, 683,468.21 and 433,324.80

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Solution

The fourth proportional to 458,125.38, 683,468.21 and 433,324.80 is: 646,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,125.38 : 683,468.21 = 433,324.80 : x
  2. Step 2: Convert to fraction form
    458,125.38/683,468.21 = 433,324.80/x
  3. Step 3: Cross multiply
    458,125.38x = 683,468.21 × 433,324.80
  4. Step 4: Simplify right side
    458,125.38x = 296,163,725,404.61
  5. Step 5: Solve for x
    x = 296,163,725,404.61/458,125.38
  6. Step 6: Final answer
    x = 646,468.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.