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Finding the Fourth Proportional to 381,856.68, 526,947.48 and 212,101.56

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Solution

The fourth proportional to 381,856.68, 526,947.48 and 212,101.56 is: 292,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,856.68 : 526,947.48 = 212,101.56 : x
  2. Step 2: Convert to fraction form
    381,856.68/526,947.48 = 212,101.56/x
  3. Step 3: Cross multiply
    381,856.68x = 526,947.48 × 212,101.56
  4. Step 4: Simplify right side
    381,856.68x = 111,766,382,546.07
  5. Step 5: Solve for x
    x = 111,766,382,546.07/381,856.68
  6. Step 6: Final answer
    x = 292,691.97

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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.