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Finding the Fourth Proportional to 420,423.14, 580,183.78 and 229,436.53

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Solution

The fourth proportional to 420,423.14, 580,183.78 and 229,436.53 is: 316,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,423.14 : 580,183.78 = 229,436.53 : x
  2. Step 2: Convert to fraction form
    420,423.14/580,183.78 = 229,436.53/x
  3. Step 3: Cross multiply
    420,423.14x = 580,183.78 × 229,436.53
  4. Step 4: Simplify right side
    420,423.14x = 133,115,352,098.30
  5. Step 5: Solve for x
    x = 133,115,352,098.30/420,423.14
  6. Step 6: Final answer
    x = 316,622.33

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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.