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Finding the Fourth Proportional to 431,572.20, 647,552.70 and 206,845.80

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Solution

The fourth proportional to 431,572.20, 647,552.70 and 206,845.80 is: 310,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,572.20 : 647,552.70 = 206,845.80 : x
  2. Step 2: Convert to fraction form
    431,572.20/647,552.70 = 206,845.80/x
  3. Step 3: Cross multiply
    431,572.20x = 647,552.70 × 206,845.80
  4. Step 4: Simplify right side
    431,572.20x = 133,943,556,273.66
  5. Step 5: Solve for x
    x = 133,943,556,273.66/431,572.20
  6. Step 6: Final answer
    x = 310,361.87

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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.