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Finding the Fourth Proportional to 361,355.28, 542,217.96 and 172,029.84

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Solution

The fourth proportional to 361,355.28, 542,217.96 and 172,029.84 is: 258,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,355.28 : 542,217.96 = 172,029.84 : x
  2. Step 2: Convert to fraction form
    361,355.28/542,217.96 = 172,029.84/x
  3. Step 3: Cross multiply
    361,355.28x = 542,217.96 × 172,029.84
  4. Step 4: Simplify right side
    361,355.28x = 93,277,668,903.93
  5. Step 5: Solve for x
    x = 93,277,668,903.93/361,355.28
  6. Step 6: Final answer
    x = 258,132.85

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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.