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Finding the Fourth Proportional to 497,729.60, 746,594.40 and 165,305.60

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Solution

The fourth proportional to 497,729.60, 746,594.40 and 165,305.60 is: 247,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,729.60 : 746,594.40 = 165,305.60 : x
  2. Step 2: Convert to fraction form
    497,729.60/746,594.40 = 165,305.60/x
  3. Step 3: Cross multiply
    497,729.60x = 746,594.40 × 165,305.60
  4. Step 4: Simplify right side
    497,729.60x = 123,416,235,248.64
  5. Step 5: Solve for x
    x = 123,416,235,248.64/497,729.60
  6. Step 6: Final answer
    x = 247,958.40

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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.