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Finding the Fourth Proportional to 512,179.38, 768,211.56 and 196,414.74

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Solution

The fourth proportional to 512,179.38, 768,211.56 and 196,414.74 is: 294,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,179.38 : 768,211.56 = 196,414.74 : x
  2. Step 2: Convert to fraction form
    512,179.38/768,211.56 = 196,414.74/x
  3. Step 3: Cross multiply
    512,179.38x = 768,211.56 × 196,414.74
  4. Step 4: Simplify right side
    512,179.38x = 150,888,073,822.39
  5. Step 5: Solve for x
    x = 150,888,073,822.39/512,179.38
  6. Step 6: Final answer
    x = 294,600.06

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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.