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Finding the Fourth Proportional to 361,922.11, 542,530.17 and 172,331.54

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Solution

The fourth proportional to 361,922.11, 542,530.17 and 172,331.54 is: 258,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,922.11 : 542,530.17 = 172,331.54 : x
  2. Step 2: Convert to fraction form
    361,922.11/542,530.17 = 172,331.54/x
  3. Step 3: Cross multiply
    361,922.11x = 542,530.17 × 172,331.54
  4. Step 4: Simplify right side
    361,922.11x = 93,495,059,692.56
  5. Step 5: Solve for x
    x = 93,495,059,692.56/361,922.11
  6. Step 6: Final answer
    x = 258,329.23

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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.