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Finding the Fourth Proportional to 498,101.92, 747,150.30 and 194,526.88

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Solution

The fourth proportional to 498,101.92, 747,150.30 and 194,526.88 is: 291,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,101.92 : 747,150.30 = 194,526.88 : x
  2. Step 2: Convert to fraction form
    498,101.92/747,150.30 = 194,526.88/x
  3. Step 3: Cross multiply
    498,101.92x = 747,150.30 × 194,526.88
  4. Step 4: Simplify right side
    498,101.92x = 145,340,816,750.06
  5. Step 5: Solve for x
    x = 145,340,816,750.06/498,101.92
  6. Step 6: Final answer
    x = 291,789.31

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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.