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Finding the Fourth Proportional to 381,711.92, 526,778.52 and 211,961.84

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Solution

The fourth proportional to 381,711.92, 526,778.52 and 211,961.84 is: 292,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,711.92 : 526,778.52 = 211,961.84 : x
  2. Step 2: Convert to fraction form
    381,711.92/526,778.52 = 211,961.84/x
  3. Step 3: Cross multiply
    381,711.92x = 526,778.52 × 211,961.84
  4. Step 4: Simplify right side
    381,711.92x = 111,656,944,371.68
  5. Step 5: Solve for x
    x = 111,656,944,371.68/381,711.92
  6. Step 6: Final answer
    x = 292,516.26

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1.5x scale

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.