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Finding the Fourth Proportional to 323,892.42, 446,972.22 and 180,648.78

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Solution

The fourth proportional to 323,892.42, 446,972.22 and 180,648.78 is: 249,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,892.42 : 446,972.22 = 180,648.78 : x
  2. Step 2: Convert to fraction form
    323,892.42/446,972.22 = 180,648.78/x
  3. Step 3: Cross multiply
    323,892.42x = 446,972.22 × 180,648.78
  4. Step 4: Simplify right side
    323,892.42x = 80,744,986,236.89
  5. Step 5: Solve for x
    x = 80,744,986,236.89/323,892.42
  6. Step 6: Final answer
    x = 249,295.70

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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.