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Finding the Fourth Proportional to 321,608.27, 443,846.66 and 178,414.44

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Solution

The fourth proportional to 321,608.27, 443,846.66 and 178,414.44 is: 246,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,608.27 : 443,846.66 = 178,414.44 : x
  2. Step 2: Convert to fraction form
    321,608.27/443,846.66 = 178,414.44/x
  3. Step 3: Cross multiply
    321,608.27x = 443,846.66 × 178,414.44
  4. Step 4: Simplify right side
    321,608.27x = 79,188,653,289.77
  5. Step 5: Solve for x
    x = 79,188,653,289.77/321,608.27
  6. Step 6: Final answer
    x = 246,227.05

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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.