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Finding the Fourth Proportional to 498,270.54, 747,682.29 and 202,759.50

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Solution

The fourth proportional to 498,270.54, 747,682.29 and 202,759.50 is: 304,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,270.54 : 747,682.29 = 202,759.50 : x
  2. Step 2: Convert to fraction form
    498,270.54/747,682.29 = 202,759.50/x
  3. Step 3: Cross multiply
    498,270.54x = 747,682.29 × 202,759.50
  4. Step 4: Simplify right side
    498,270.54x = 151,599,687,279.26
  5. Step 5: Solve for x
    x = 151,599,687,279.26/498,270.54
  6. Step 6: Final answer
    x = 304,251.76

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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.