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Finding the Fourth Proportional to 322,493.40, 445,046.22 and 177,305.32

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Solution

The fourth proportional to 322,493.40, 445,046.22 and 177,305.32 is: 244,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,493.40 : 445,046.22 = 177,305.32 : x
  2. Step 2: Convert to fraction form
    322,493.40/445,046.22 = 177,305.32/x
  3. Step 3: Cross multiply
    322,493.40x = 445,046.22 × 177,305.32
  4. Step 4: Simplify right side
    322,493.40x = 78,909,059,340.13
  5. Step 5: Solve for x
    x = 78,909,059,340.13/322,493.40
  6. Step 6: Final answer
    x = 244,684.27

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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.