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Finding the Fourth Proportional to 381,529.98, 572,398.65 and 132,231.42

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Solution

The fourth proportional to 381,529.98, 572,398.65 and 132,231.42 is: 198,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,529.98 : 572,398.65 = 132,231.42 : x
  2. Step 2: Convert to fraction form
    381,529.98/572,398.65 = 132,231.42/x
  3. Step 3: Cross multiply
    381,529.98x = 572,398.65 × 132,231.42
  4. Step 4: Simplify right side
    381,529.98x = 75,689,086,295.58
  5. Step 5: Solve for x
    x = 75,689,086,295.58/381,529.98
  6. Step 6: Final answer
    x = 198,383.06

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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.