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Finding the Fourth Proportional to 322,564.52, 445,148.70 and 177,362.78

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Solution

The fourth proportional to 322,564.52, 445,148.70 and 177,362.78 is: 244,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,564.52 : 445,148.70 = 177,362.78 : x
  2. Step 2: Convert to fraction form
    322,564.52/445,148.70 = 177,362.78/x
  3. Step 3: Cross multiply
    322,564.52x = 445,148.70 × 177,362.78
  4. Step 4: Simplify right side
    322,564.52x = 78,952,810,945.39
  5. Step 5: Solve for x
    x = 78,952,810,945.39/322,564.52
  6. Step 6: Final answer
    x = 244,765.95

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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.