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Finding the Fourth Proportional to 420,781.60, 580,683.24 and 229,800.62

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Solution

The fourth proportional to 420,781.60, 580,683.24 and 229,800.62 is: 317,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,781.60 : 580,683.24 = 229,800.62 : x
  2. Step 2: Convert to fraction form
    420,781.60/580,683.24 = 229,800.62/x
  3. Step 3: Cross multiply
    420,781.60x = 580,683.24 × 229,800.62
  4. Step 4: Simplify right side
    420,781.60x = 133,441,368,575.61
  5. Step 5: Solve for x
    x = 133,441,368,575.61/420,781.60
  6. Step 6: Final answer
    x = 317,127.39

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Why These Related Problems?

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