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Finding the Fourth Proportional to 382,024.68, 527,197.19 and 238,867.71

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Solution

The fourth proportional to 382,024.68, 527,197.19 and 238,867.71 is: 329,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,024.68 : 527,197.19 = 238,867.71 : x
  2. Step 2: Convert to fraction form
    382,024.68/527,197.19 = 238,867.71/x
  3. Step 3: Cross multiply
    382,024.68x = 527,197.19 × 238,867.71
  4. Step 4: Simplify right side
    382,024.68x = 125,930,384,299.40
  5. Step 5: Solve for x
    x = 125,930,384,299.40/382,024.68
  6. Step 6: Final answer
    x = 329,639.39

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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.