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Finding the Fourth Proportional to 498,428.69, 747,606.76 and 194,765.97

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Solution

The fourth proportional to 498,428.69, 747,606.76 and 194,765.97 is: 292,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,428.69 : 747,606.76 = 194,765.97 : x
  2. Step 2: Convert to fraction form
    498,428.69/747,606.76 = 194,765.97/x
  3. Step 3: Cross multiply
    498,428.69x = 747,606.76 × 194,765.97
  4. Step 4: Simplify right side
    498,428.69x = 145,608,354,996.84
  5. Step 5: Solve for x
    x = 145,608,354,996.84/498,428.69
  6. Step 6: Final answer
    x = 292,134.78

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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.