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Finding the Fourth Proportional to 361,372.38, 541,960.65 and 150,966.30

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Solution

The fourth proportional to 361,372.38, 541,960.65 and 150,966.30 is: 226,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,372.38 : 541,960.65 = 150,966.30 : x
  2. Step 2: Convert to fraction form
    361,372.38/541,960.65 = 150,966.30/x
  3. Step 3: Cross multiply
    361,372.38x = 541,960.65 × 150,966.30
  4. Step 4: Simplify right side
    361,372.38x = 81,817,794,076.10
  5. Step 5: Solve for x
    x = 81,817,794,076.10/361,372.38
  6. Step 6: Final answer
    x = 226,408.54

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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.