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Finding the Fourth Proportional to 322,617.78, 445,200.89 and 177,422.31

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Solution

The fourth proportional to 322,617.78, 445,200.89 and 177,422.31 is: 244,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,617.78 : 445,200.89 = 177,422.31 : x
  2. Step 2: Convert to fraction form
    322,617.78/445,200.89 = 177,422.31/x
  3. Step 3: Cross multiply
    322,617.78x = 445,200.89 × 177,422.31
  4. Step 4: Simplify right side
    322,617.78x = 78,988,569,430.74
  5. Step 5: Solve for x
    x = 78,988,569,430.74/322,617.78
  6. Step 6: Final answer
    x = 244,836.38

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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.