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Finding the Fourth Proportional to 474,565.70, 711,736.76 and 137,517.42

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Solution

The fourth proportional to 474,565.70, 711,736.76 and 137,517.42 is: 206,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,565.70 : 711,736.76 = 137,517.42 : x
  2. Step 2: Convert to fraction form
    474,565.70/711,736.76 = 137,517.42/x
  3. Step 3: Cross multiply
    474,565.70x = 711,736.76 × 137,517.42
  4. Step 4: Simplify right side
    474,565.70x = 97,876,202,954.36
  5. Step 5: Solve for x
    x = 97,876,202,954.36/474,565.70
  6. Step 6: Final answer
    x = 206,243.74

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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.