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Finding the Fourth Proportional to 431,615.20, 647,471.40 and 132,093.40

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Solution

The fourth proportional to 431,615.20, 647,471.40 and 132,093.40 is: 198,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,615.20 : 647,471.40 = 132,093.40 : x
  2. Step 2: Convert to fraction form
    431,615.20/647,471.40 = 132,093.40/x
  3. Step 3: Cross multiply
    431,615.20x = 647,471.40 × 132,093.40
  4. Step 4: Simplify right side
    431,615.20x = 85,526,698,628.76
  5. Step 5: Solve for x
    x = 85,526,698,628.76/431,615.20
  6. Step 6: Final answer
    x = 198,154.97

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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.