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Finding the Fourth Proportional to 332,470.97, 499,444.56 and 206,204.52

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Solution

The fourth proportional to 332,470.97, 499,444.56 and 206,204.52 is: 309,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,470.97 : 499,444.56 = 206,204.52 : x
  2. Step 2: Convert to fraction form
    332,470.97/499,444.56 = 206,204.52/x
  3. Step 3: Cross multiply
    332,470.97x = 499,444.56 × 206,204.52
  4. Step 4: Simplify right side
    332,470.97x = 102,987,725,761.41
  5. Step 5: Solve for x
    x = 102,987,725,761.41/332,470.97
  6. Step 6: Final answer
    x = 309,764.57

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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.