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Finding the Fourth Proportional to 498,002.60, 746,906.70 and 165,578.60

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Solution

The fourth proportional to 498,002.60, 746,906.70 and 165,578.60 is: 248,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,002.60 : 746,906.70 = 165,578.60 : x
  2. Step 2: Convert to fraction form
    498,002.60/746,906.70 = 165,578.60/x
  3. Step 3: Cross multiply
    498,002.60x = 746,906.70 × 165,578.60
  4. Step 4: Simplify right side
    498,002.60x = 123,671,765,716.62
  5. Step 5: Solve for x
    x = 123,671,765,716.62/498,002.60
  6. Step 6: Final answer
    x = 248,335.58

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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.