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Finding the Fourth Proportional to 396,778.14, 594,948.51 and 206,764.32

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Solution

The fourth proportional to 396,778.14, 594,948.51 and 206,764.32 is: 310,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,778.14 : 594,948.51 = 206,764.32 : x
  2. Step 2: Convert to fraction form
    396,778.14/594,948.51 = 206,764.32/x
  3. Step 3: Cross multiply
    396,778.14x = 594,948.51 × 206,764.32
  4. Step 4: Simplify right side
    396,778.14x = 123,014,124,105.16
  5. Step 5: Solve for x
    x = 123,014,124,105.16/396,778.14
  6. Step 6: Final answer
    x = 310,032.51

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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.