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Finding the Fourth Proportional to 431,692.97, 647,170.14 and 165,644.42

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Solution

The fourth proportional to 431,692.97, 647,170.14 and 165,644.42 is: 248,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,692.97 : 647,170.14 = 165,644.42 : x
  2. Step 2: Convert to fraction form
    431,692.97/647,170.14 = 165,644.42/x
  3. Step 3: Cross multiply
    431,692.97x = 647,170.14 × 165,644.42
  4. Step 4: Simplify right side
    431,692.97x = 107,200,122,481.62
  5. Step 5: Solve for x
    x = 107,200,122,481.62/431,692.97
  6. Step 6: Final answer
    x = 248,324.92

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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.