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Finding the Fourth Proportional to 417,863.50, 627,044.31 and 151,644.82

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Solution

The fourth proportional to 417,863.50, 627,044.31 and 151,644.82 is: 227,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,863.50 : 627,044.31 = 151,644.82 : x
  2. Step 2: Convert to fraction form
    417,863.50/627,044.31 = 151,644.82/x
  3. Step 3: Cross multiply
    417,863.50x = 627,044.31 × 151,644.82
  4. Step 4: Simplify right side
    417,863.50x = 95,088,021,521.97
  5. Step 5: Solve for x
    x = 95,088,021,521.97/417,863.50
  6. Step 6: Final answer
    x = 227,557.62

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Why These Related Problems?

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