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Finding the Fourth Proportional to 323,902.42, 446,984.10 and 178,717.25

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Solution

The fourth proportional to 323,902.42, 446,984.10 and 178,717.25 is: 246,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,902.42 : 446,984.10 = 178,717.25 : x
  2. Step 2: Convert to fraction form
    323,902.42/446,984.10 = 178,717.25/x
  3. Step 3: Cross multiply
    323,902.42x = 446,984.10 × 178,717.25
  4. Step 4: Simplify right side
    323,902.42x = 79,883,766,910.80
  5. Step 5: Solve for x
    x = 79,883,766,910.80/323,902.42
  6. Step 6: Final answer
    x = 246,629.12

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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.