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Finding the Fourth Proportional to 381,858.68, 526,950.24 and 212,103.56

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Solution

The fourth proportional to 381,858.68, 526,950.24 and 212,103.56 is: 292,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,858.68 : 526,950.24 = 212,103.56 : x
  2. Step 2: Convert to fraction form
    381,858.68/526,950.24 = 212,103.56/x
  3. Step 3: Cross multiply
    381,858.68x = 526,950.24 × 212,103.56
  4. Step 4: Simplify right side
    381,858.68x = 111,768,021,846.85
  5. Step 5: Solve for x
    x = 111,768,021,846.85/381,858.68
  6. Step 6: Final answer
    x = 292,694.73

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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.