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Finding the Fourth Proportional to 431,703.60, 647,498.70 and 132,214.20

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Solution

The fourth proportional to 431,703.60, 647,498.70 and 132,214.20 is: 198,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,703.60 : 647,498.70 = 132,214.20 : x
  2. Step 2: Convert to fraction form
    431,703.60/647,498.70 = 132,214.20/x
  3. Step 3: Cross multiply
    431,703.60x = 647,498.70 × 132,214.20
  4. Step 4: Simplify right side
    431,703.60x = 85,608,522,621.54
  5. Step 5: Solve for x
    x = 85,608,522,621.54/431,703.60
  6. Step 6: Final answer
    x = 198,303.93

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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.