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Finding the Fourth Proportional to 311,537.76, 467,306.70 and 98,327.25

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Solution

The fourth proportional to 311,537.76, 467,306.70 and 98,327.25 is: 147,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,537.76 : 467,306.70 = 98,327.25 : x
  2. Step 2: Convert to fraction form
    311,537.76/467,306.70 = 98,327.25/x
  3. Step 3: Cross multiply
    311,537.76x = 467,306.70 × 98,327.25
  4. Step 4: Simplify right side
    311,537.76x = 45,948,982,717.58
  5. Step 5: Solve for x
    x = 45,948,982,717.58/311,537.76
  6. Step 6: Final answer
    x = 147,490.89

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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.