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Finding the Fourth Proportional to 431,984.55, 647,986.17 and 132,458.50

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Solution

The fourth proportional to 431,984.55, 647,986.17 and 132,458.50 is: 198,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,984.55 : 647,986.17 = 132,458.50 : x
  2. Step 2: Convert to fraction form
    431,984.55/647,986.17 = 132,458.50/x
  3. Step 3: Cross multiply
    431,984.55x = 647,986.17 × 132,458.50
  4. Step 4: Simplify right side
    431,984.55x = 85,831,276,908.93
  5. Step 5: Solve for x
    x = 85,831,276,908.93/431,984.55
  6. Step 6: Final answer
    x = 198,690.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.