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Finding the Fourth Proportional to 311,306.32, 467,027.70 and 100,965.52

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Solution

The fourth proportional to 311,306.32, 467,027.70 and 100,965.52 is: 151,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,306.32 : 467,027.70 = 100,965.52 : x
  2. Step 2: Convert to fraction form
    311,306.32/467,027.70 = 100,965.52/x
  3. Step 3: Cross multiply
    311,306.32x = 467,027.70 × 100,965.52
  4. Step 4: Simplify right side
    311,306.32x = 47,153,694,584.90
  5. Step 5: Solve for x
    x = 47,153,694,584.90/311,306.32
  6. Step 6: Final answer
    x = 151,470.41

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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.