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Finding the Fourth Proportional to 431,692.60, 647,538.90 and 132,172.60

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Solution

The fourth proportional to 431,692.60, 647,538.90 and 132,172.60 is: 198,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,692.60 : 647,538.90 = 132,172.60 : x
  2. Step 2: Convert to fraction form
    431,692.60/647,538.90 = 132,172.60/x
  3. Step 3: Cross multiply
    431,692.60x = 647,538.90 × 132,172.60
  4. Step 4: Simplify right side
    431,692.60x = 85,586,900,014.14
  5. Step 5: Solve for x
    x = 85,586,900,014.14/431,692.60
  6. Step 6: Final answer
    x = 198,258.90

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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.