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Finding the Fourth Proportional to 322,198.69, 444,621.82 and 178,967.89

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Solution

The fourth proportional to 322,198.69, 444,621.82 and 178,967.89 is: 246,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,198.69 : 444,621.82 = 178,967.89 : x
  2. Step 2: Convert to fraction form
    322,198.69/444,621.82 = 178,967.89/x
  3. Step 3: Cross multiply
    322,198.69x = 444,621.82 × 178,967.89
  4. Step 4: Simplify right side
    322,198.69x = 79,573,028,973.36
  5. Step 5: Solve for x
    x = 79,573,028,973.36/322,198.69
  6. Step 6: Final answer
    x = 246,968.82

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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.