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Finding the Fourth Proportional to 396,154.35, 594,016.47 and 179,894.34

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Solution

The fourth proportional to 396,154.35, 594,016.47 and 179,894.34 is: 269,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,154.35 : 594,016.47 = 179,894.34 : x
  2. Step 2: Convert to fraction form
    396,154.35/594,016.47 = 179,894.34/x
  3. Step 3: Cross multiply
    396,154.35x = 594,016.47 × 179,894.34
  4. Step 4: Simplify right side
    396,154.35x = 106,860,201,494.38
  5. Step 5: Solve for x
    x = 106,860,201,494.38/396,154.35
  6. Step 6: Final answer
    x = 269,743.85

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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.