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Finding the Fourth Proportional to 381,324.78, 526,234.95 and 209,251.22

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Solution

The fourth proportional to 381,324.78, 526,234.95 and 209,251.22 is: 288,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,324.78 : 526,234.95 = 209,251.22 : x
  2. Step 2: Convert to fraction form
    381,324.78/526,234.95 = 209,251.22/x
  3. Step 3: Cross multiply
    381,324.78x = 526,234.95 × 209,251.22
  4. Step 4: Simplify right side
    381,324.78x = 110,115,302,662.96
  5. Step 5: Solve for x
    x = 110,115,302,662.96/381,324.78
  6. Step 6: Final answer
    x = 288,770.38

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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.