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Finding the Fourth Proportional to 381,306.67, 571,957.52 and 96,994.78

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Solution

The fourth proportional to 381,306.67, 571,957.52 and 96,994.78 is: 145,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,306.67 : 571,957.52 = 96,994.78 : x
  2. Step 2: Convert to fraction form
    381,306.67/571,957.52 = 96,994.78/x
  3. Step 3: Cross multiply
    381,306.67x = 571,957.52 × 96,994.78
  4. Step 4: Simplify right side
    381,306.67x = 55,476,891,906.88
  5. Step 5: Solve for x
    x = 55,476,891,906.88/381,306.67
  6. Step 6: Final answer
    x = 145,491.53

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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.