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Finding the Fourth Proportional to 396,773.20, 595,164.64 and 116,296.12

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Solution

The fourth proportional to 396,773.20, 595,164.64 and 116,296.12 is: 174,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,773.20 : 595,164.64 = 116,296.12 : x
  2. Step 2: Convert to fraction form
    396,773.20/595,164.64 = 116,296.12/x
  3. Step 3: Cross multiply
    396,773.20x = 595,164.64 × 116,296.12
  4. Step 4: Simplify right side
    396,773.20x = 69,215,338,393.20
  5. Step 5: Solve for x
    x = 69,215,338,393.20/396,773.20
  6. Step 6: Final answer
    x = 174,445.60

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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.