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Finding the Fourth Proportional to 323,801, 446,845.38 and 189,665

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Solution

The fourth proportional to 323,801, 446,845.38 and 189,665 is: 261,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,801 : 446,845.38 = 189,665 : x
  2. Step 2: Convert to fraction form
    323,801/446,845.38 = 189,665/x
  3. Step 3: Cross multiply
    323,801x = 446,845.38 × 189,665
  4. Step 4: Simplify right side
    323,801x = 84,750,928,997.70
  5. Step 5: Solve for x
    x = 84,750,928,997.70/323,801
  6. Step 6: Final answer
    x = 261,737.70

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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.