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Finding the Fourth Proportional to 381,783.72, 527,125.14 and 238,608.12

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Solution

The fourth proportional to 381,783.72, 527,125.14 and 238,608.12 is: 329,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,783.72 : 527,125.14 = 238,608.12 : x
  2. Step 2: Convert to fraction form
    381,783.72/527,125.14 = 238,608.12/x
  3. Step 3: Cross multiply
    381,783.72x = 527,125.14 × 238,608.12
  4. Step 4: Simplify right side
    381,783.72x = 125,776,338,660.14
  5. Step 5: Solve for x
    x = 125,776,338,660.14/381,783.72
  6. Step 6: Final answer
    x = 329,443.95

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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.