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Finding the Fourth Proportional to 502,882.60, 754,323.85 and 147,896.61

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Solution

The fourth proportional to 502,882.60, 754,323.85 and 147,896.61 is: 221,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,882.60 : 754,323.85 = 147,896.61 : x
  2. Step 2: Convert to fraction form
    502,882.60/754,323.85 = 147,896.61/x
  3. Step 3: Cross multiply
    502,882.60x = 754,323.85 × 147,896.61
  4. Step 4: Simplify right side
    502,882.60x = 111,561,939,517.67
  5. Step 5: Solve for x
    x = 111,561,939,517.67/502,882.60
  6. Step 6: Final answer
    x = 221,844.90

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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.