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Finding the Fourth Proportional to 396,912.80, 595,311.60 and 116,400.80

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Solution

The fourth proportional to 396,912.80, 595,311.60 and 116,400.80 is: 174,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,912.80 : 595,311.60 = 116,400.80 : x
  2. Step 2: Convert to fraction form
    396,912.80/595,311.60 = 116,400.80/x
  3. Step 3: Cross multiply
    396,912.80x = 595,311.60 × 116,400.80
  4. Step 4: Simplify right side
    396,912.80x = 69,294,746,489.28
  5. Step 5: Solve for x
    x = 69,294,746,489.28/396,912.80
  6. Step 6: Final answer
    x = 174,584.31

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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.