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Finding the Fourth Proportional to 497,605.60, 746,408.40 and 165,181.60

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Solution

The fourth proportional to 497,605.60, 746,408.40 and 165,181.60 is: 247,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,605.60 : 746,408.40 = 165,181.60 : x
  2. Step 2: Convert to fraction form
    497,605.60/746,408.40 = 165,181.60/x
  3. Step 3: Cross multiply
    497,605.60x = 746,408.40 × 165,181.60
  4. Step 4: Simplify right side
    497,605.60x = 123,292,933,765.44
  5. Step 5: Solve for x
    x = 123,292,933,765.44/497,605.60
  6. Step 6: Final answer
    x = 247,772.40

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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.