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Finding the Fourth Proportional to 396,478.68, 594,400.86 and 206,843.88

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Solution

The fourth proportional to 396,478.68, 594,400.86 and 206,843.88 is: 310,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,478.68 : 594,400.86 = 206,843.88 : x
  2. Step 2: Convert to fraction form
    396,478.68/594,400.86 = 206,843.88/x
  3. Step 3: Cross multiply
    396,478.68x = 594,400.86 × 206,843.88
  4. Step 4: Simplify right side
    396,478.68x = 122,948,180,157.74
  5. Step 5: Solve for x
    x = 122,948,180,157.74/396,478.68
  6. Step 6: Final answer
    x = 310,100.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.