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Finding the Fourth Proportional to 322,212.44, 444,640.80 and 178,981.64

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Solution

The fourth proportional to 322,212.44, 444,640.80 and 178,981.64 is: 246,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,212.44 : 444,640.80 = 178,981.64 : x
  2. Step 2: Convert to fraction form
    322,212.44/444,640.80 = 178,981.64/x
  3. Step 3: Cross multiply
    322,212.44x = 444,640.80 × 178,981.64
  4. Step 4: Simplify right side
    322,212.44x = 79,582,539,594.91
  5. Step 5: Solve for x
    x = 79,582,539,594.91/322,212.44
  6. Step 6: Final answer
    x = 246,987.79

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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.