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Finding the Fourth Proportional to 381,953.22, 526,861.87 and 226,799.34

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Solution

The fourth proportional to 381,953.22, 526,861.87 and 226,799.34 is: 312,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,953.22 : 526,861.87 = 226,799.34 : x
  2. Step 2: Convert to fraction form
    381,953.22/526,861.87 = 226,799.34/x
  3. Step 3: Cross multiply
    381,953.22x = 526,861.87 × 226,799.34
  4. Step 4: Simplify right side
    381,953.22x = 119,491,924,387.17
  5. Step 5: Solve for x
    x = 119,491,924,387.17/381,953.22
  6. Step 6: Final answer
    x = 312,844.40

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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.