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Finding the Fourth Proportional to 332,446.92, 458,715.96 and 196,503

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Solution

The fourth proportional to 332,446.92, 458,715.96 and 196,503 is: 271,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,446.92 : 458,715.96 = 196,503 : x
  2. Step 2: Convert to fraction form
    332,446.92/458,715.96 = 196,503/x
  3. Step 3: Cross multiply
    332,446.92x = 458,715.96 × 196,503
  4. Step 4: Simplify right side
    332,446.92x = 90,139,062,287.88
  5. Step 5: Solve for x
    x = 90,139,062,287.88/332,446.92
  6. Step 6: Final answer
    x = 271,138.21

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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.