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Finding the Fourth Proportional to 322,293.40, 444,772.82 and 177,098

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Solution

The fourth proportional to 322,293.40, 444,772.82 and 177,098 is: 244,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,293.40 : 444,772.82 = 177,098 : x
  2. Step 2: Convert to fraction form
    322,293.40/444,772.82 = 177,098/x
  3. Step 3: Cross multiply
    322,293.40x = 444,772.82 × 177,098
  4. Step 4: Simplify right side
    322,293.40x = 78,768,376,876.36
  5. Step 5: Solve for x
    x = 78,768,376,876.36/322,293.40
  6. Step 6: Final answer
    x = 244,399.60

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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.