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Finding the Fourth Proportional to 321,348.57, 443,453.34 and 178,105.54

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Solution

The fourth proportional to 321,348.57, 443,453.34 and 178,105.54 is: 245,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,348.57 : 443,453.34 = 178,105.54 : x
  2. Step 2: Convert to fraction form
    321,348.57/443,453.34 = 178,105.54/x
  3. Step 3: Cross multiply
    321,348.57x = 443,453.34 × 178,105.54
  4. Step 4: Simplify right side
    321,348.57x = 78,981,496,585.50
  5. Step 5: Solve for x
    x = 78,981,496,585.50/321,348.57
  6. Step 6: Final answer
    x = 245,781.38

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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.