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Finding the Fourth Proportional to 381,665.22, 572,760.24 and 132,347.22

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Solution

The fourth proportional to 381,665.22, 572,760.24 and 132,347.22 is: 198,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,665.22 : 572,760.24 = 132,347.22 : x
  2. Step 2: Convert to fraction form
    381,665.22/572,760.24 = 132,347.22/x
  3. Step 3: Cross multiply
    381,665.22x = 572,760.24 × 132,347.22
  4. Step 4: Simplify right side
    381,665.22x = 75,803,225,490.53
  5. Step 5: Solve for x
    x = 75,803,225,490.53/381,665.22
  6. Step 6: Final answer
    x = 198,611.82

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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.