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Finding the Fourth Proportional to 421,585.92, 581,793.17 and 227,997.41

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Solution

The fourth proportional to 421,585.92, 581,793.17 and 227,997.41 is: 314,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,585.92 : 581,793.17 = 227,997.41 : x
  2. Step 2: Convert to fraction form
    421,585.92/581,793.17 = 227,997.41/x
  3. Step 3: Cross multiply
    421,585.92x = 581,793.17 × 227,997.41
  4. Step 4: Simplify right side
    421,585.92x = 132,647,335,915.69
  5. Step 5: Solve for x
    x = 132,647,335,915.69/421,585.92
  6. Step 6: Final answer
    x = 314,638.91

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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.