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Finding the Fourth Proportional to 342,029.92, 472,067.76 and 198,819.04

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Solution

The fourth proportional to 342,029.92, 472,067.76 and 198,819.04 is: 274,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,029.92 : 472,067.76 = 198,819.04 : x
  2. Step 2: Convert to fraction form
    342,029.92/472,067.76 = 198,819.04/x
  3. Step 3: Cross multiply
    342,029.92x = 472,067.76 × 198,819.04
  4. Step 4: Simplify right side
    342,029.92x = 93,856,058,858.15
  5. Step 5: Solve for x
    x = 93,856,058,858.15/342,029.92
  6. Step 6: Final answer
    x = 274,408.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.