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Finding the Fourth Proportional to 321,824.80, 482,894 and 132,342.10

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Solution

The fourth proportional to 321,824.80, 482,894 and 132,342.10 is: 198,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,824.80 : 482,894 = 132,342.10 : x
  2. Step 2: Convert to fraction form
    321,824.80/482,894 = 132,342.10/x
  3. Step 3: Cross multiply
    321,824.80x = 482,894 × 132,342.10
  4. Step 4: Simplify right side
    321,824.80x = 63,907,206,037.40
  5. Step 5: Solve for x
    x = 63,907,206,037.40/321,824.80
  6. Step 6: Final answer
    x = 198,577.63

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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.