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Finding the Fourth Proportional to 492,711.80, 739,067.70 and 177,127.70

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Solution

The fourth proportional to 492,711.80, 739,067.70 and 177,127.70 is: 265,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,711.80 : 739,067.70 = 177,127.70 : x
  2. Step 2: Convert to fraction form
    492,711.80/739,067.70 = 177,127.70/x
  3. Step 3: Cross multiply
    492,711.80x = 739,067.70 × 177,127.70
  4. Step 4: Simplify right side
    492,711.80x = 130,909,361,845.29
  5. Step 5: Solve for x
    x = 130,909,361,845.29/492,711.80
  6. Step 6: Final answer
    x = 265,691.55

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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.