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Finding the Fourth Proportional to 322,104.28, 444,495.42 and 178,860.64

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Solution

The fourth proportional to 322,104.28, 444,495.42 and 178,860.64 is: 246,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,104.28 : 444,495.42 = 178,860.64 : x
  2. Step 2: Convert to fraction form
    322,104.28/444,495.42 = 178,860.64/x
  3. Step 3: Cross multiply
    322,104.28x = 444,495.42 × 178,860.64
  4. Step 4: Simplify right side
    322,104.28x = 79,502,735,298.27
  5. Step 5: Solve for x
    x = 79,502,735,298.27/322,104.28
  6. Step 6: Final answer
    x = 246,822.97

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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.