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Finding the Fourth Proportional to 396,788.64, 595,213.36 and 112,474.42

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Solution

The fourth proportional to 396,788.64, 595,213.36 and 112,474.42 is: 168,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,788.64 : 595,213.36 = 112,474.42 : x
  2. Step 2: Convert to fraction form
    396,788.64/595,213.36 = 112,474.42/x
  3. Step 3: Cross multiply
    396,788.64x = 595,213.36 × 112,474.42
  4. Step 4: Simplify right side
    396,788.64x = 66,946,277,442.25
  5. Step 5: Solve for x
    x = 66,946,277,442.25/396,788.64
  6. Step 6: Final answer
    x = 168,720.25

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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.