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Finding the Fourth Proportional to 381,790.72, 527,134.80 and 238,615.12

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Solution

The fourth proportional to 381,790.72, 527,134.80 and 238,615.12 is: 329,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,790.72 : 527,134.80 = 238,615.12 : x
  2. Step 2: Convert to fraction form
    381,790.72/527,134.80 = 238,615.12/x
  3. Step 3: Cross multiply
    381,790.72x = 527,134.80 × 238,615.12
  4. Step 4: Simplify right side
    381,790.72x = 125,782,333,558.18
  5. Step 5: Solve for x
    x = 125,782,333,558.18/381,790.72
  6. Step 6: Final answer
    x = 329,453.62

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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.