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Finding the Fourth Proportional to 321,824.22, 482,893.14 and 132,341.54

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Solution

The fourth proportional to 321,824.22, 482,893.14 and 132,341.54 is: 198,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,824.22 : 482,893.14 = 132,341.54 : x
  2. Step 2: Convert to fraction form
    321,824.22/482,893.14 = 132,341.54/x
  3. Step 3: Cross multiply
    321,824.22x = 482,893.14 × 132,341.54
  4. Step 4: Simplify right side
    321,824.22x = 63,906,819,388.57
  5. Step 5: Solve for x
    x = 63,906,819,388.57/321,824.22
  6. Step 6: Final answer
    x = 198,576.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.