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Finding the Fourth Proportional to 322,546.83, 445,126.02 and 177,363.61

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Solution

The fourth proportional to 322,546.83, 445,126.02 and 177,363.61 is: 244,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,546.83 : 445,126.02 = 177,363.61 : x
  2. Step 2: Convert to fraction form
    322,546.83/445,126.02 = 177,363.61/x
  3. Step 3: Cross multiply
    322,546.83x = 445,126.02 × 177,363.61
  4. Step 4: Simplify right side
    322,546.83x = 78,949,157,812.13
  5. Step 5: Solve for x
    x = 78,949,157,812.13/322,546.83
  6. Step 6: Final answer
    x = 244,768.05

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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.