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Finding the Fourth Proportional to 431,394.60, 647,035.20 and 131,905.20

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Solution

The fourth proportional to 431,394.60, 647,035.20 and 131,905.20 is: 197,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,394.60 : 647,035.20 = 131,905.20 : x
  2. Step 2: Convert to fraction form
    431,394.60/647,035.20 = 131,905.20/x
  3. Step 3: Cross multiply
    431,394.60x = 647,035.20 × 131,905.20
  4. Step 4: Simplify right side
    431,394.60x = 85,347,307,463.04
  5. Step 5: Solve for x
    x = 85,347,307,463.04/431,394.60
  6. Step 6: Final answer
    x = 197,840.46

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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.