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Finding the Fourth Proportional to 462,237.92, 638,084.80 and 281,007.74

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Solution

The fourth proportional to 462,237.92, 638,084.80 and 281,007.74 is: 387,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,237.92 : 638,084.80 = 281,007.74 : x
  2. Step 2: Convert to fraction form
    462,237.92/638,084.80 = 281,007.74/x
  3. Step 3: Cross multiply
    462,237.92x = 638,084.80 × 281,007.74
  4. Step 4: Simplify right side
    462,237.92x = 179,306,767,576.35
  5. Step 5: Solve for x
    x = 179,306,767,576.35/462,237.92
  6. Step 6: Final answer
    x = 387,910.12

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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.