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Finding the Fourth Proportional to 322,822.97, 445,493.60 and 177,637.61

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Solution

The fourth proportional to 322,822.97, 445,493.60 and 177,637.61 is: 245,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,822.97 : 445,493.60 = 177,637.61 : x
  2. Step 2: Convert to fraction form
    322,822.97/445,493.60 = 177,637.61/x
  3. Step 3: Cross multiply
    322,822.97x = 445,493.60 × 177,637.61
  4. Step 4: Simplify right side
    322,822.97x = 79,136,418,374.30
  5. Step 5: Solve for x
    x = 79,136,418,374.30/322,822.97
  6. Step 6: Final answer
    x = 245,138.75

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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.