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Finding the Fourth Proportional to 474,517.91, 711,756.11 and 137,551.23

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Solution

The fourth proportional to 474,517.91, 711,756.11 and 137,551.23 is: 206,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,517.91 : 711,756.11 = 137,551.23 : x
  2. Step 2: Convert to fraction form
    474,517.91/711,756.11 = 137,551.23/x
  3. Step 3: Cross multiply
    474,517.91x = 711,756.11 × 137,551.23
  4. Step 4: Simplify right side
    474,517.91x = 97,902,928,734.39
  5. Step 5: Solve for x
    x = 97,902,928,734.39/474,517.91
  6. Step 6: Final answer
    x = 206,320.83

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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.