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Finding the Fourth Proportional to 417,311.46, 626,016.06 and 132,902.10

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Solution

The fourth proportional to 417,311.46, 626,016.06 and 132,902.10 is: 199,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,311.46 : 626,016.06 = 132,902.10 : x
  2. Step 2: Convert to fraction form
    417,311.46/626,016.06 = 132,902.10/x
  3. Step 3: Cross multiply
    417,311.46x = 626,016.06 × 132,902.10
  4. Step 4: Simplify right side
    417,311.46x = 83,198,849,007.73
  5. Step 5: Solve for x
    x = 83,198,849,007.73/417,311.46
  6. Step 6: Final answer
    x = 199,368.71

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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.