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Finding the Fourth Proportional to 321,467.52, 443,613.12 and 178,229.76

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Solution

The fourth proportional to 321,467.52, 443,613.12 and 178,229.76 is: 245,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,467.52 : 443,613.12 = 178,229.76 : x
  2. Step 2: Convert to fraction form
    321,467.52/443,613.12 = 178,229.76/x
  3. Step 3: Cross multiply
    321,467.52x = 443,613.12 × 178,229.76
  4. Step 4: Simplify right side
    321,467.52x = 79,065,059,910.45
  5. Step 5: Solve for x
    x = 79,065,059,910.45/321,467.52
  6. Step 6: Final answer
    x = 245,950.38

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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.