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Finding the Fourth Proportional to 498,708.98, 747,847.04 and 274,002.02

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Solution

The fourth proportional to 498,708.98, 747,847.04 and 274,002.02 is: 410,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,708.98 : 747,847.04 = 274,002.02 : x
  2. Step 2: Convert to fraction form
    498,708.98/747,847.04 = 274,002.02/x
  3. Step 3: Cross multiply
    498,708.98x = 747,847.04 × 274,002.02
  4. Step 4: Simplify right side
    498,708.98x = 204,911,599,611.02
  5. Step 5: Solve for x
    x = 204,911,599,611.02/498,708.98
  6. Step 6: Final answer
    x = 410,884.12

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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.