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Finding the Fourth Proportional to 431,884.20, 647,000.10 and 232,138.20

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Solution

The fourth proportional to 431,884.20, 647,000.10 and 232,138.20 is: 347,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,884.20 : 647,000.10 = 232,138.20 : x
  2. Step 2: Convert to fraction form
    431,884.20/647,000.10 = 232,138.20/x
  3. Step 3: Cross multiply
    431,884.20x = 647,000.10 × 232,138.20
  4. Step 4: Simplify right side
    431,884.20x = 150,193,438,613.82
  5. Step 5: Solve for x
    x = 150,193,438,613.82/431,884.20
  6. Step 6: Final answer
    x = 347,763.22

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1.5x scale

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.