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Finding the Fourth Proportional to 384,932.52, 577,233.72 and 132,238.44

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Solution

The fourth proportional to 384,932.52, 577,233.72 and 132,238.44 is: 198,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,932.52 : 577,233.72 = 132,238.44 : x
  2. Step 2: Convert to fraction form
    384,932.52/577,233.72 = 132,238.44/x
  3. Step 3: Cross multiply
    384,932.52x = 577,233.72 × 132,238.44
  4. Step 4: Simplify right side
    384,932.52x = 76,332,486,648.20
  5. Step 5: Solve for x
    x = 76,332,486,648.20/384,932.52
  6. Step 6: Final answer
    x = 198,300.96

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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.