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Finding the Fourth Proportional to 497,540.40, 746,310.60 and 182,029.20

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Solution

The fourth proportional to 497,540.40, 746,310.60 and 182,029.20 is: 273,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,540.40 : 746,310.60 = 182,029.20 : x
  2. Step 2: Convert to fraction form
    497,540.40/746,310.60 = 182,029.20/x
  3. Step 3: Cross multiply
    497,540.40x = 746,310.60 × 182,029.20
  4. Step 4: Simplify right side
    497,540.40x = 135,850,321,469.52
  5. Step 5: Solve for x
    x = 135,850,321,469.52/497,540.40
  6. Step 6: Final answer
    x = 273,043.80

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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.