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Finding the Fourth Proportional to 321,984.70, 482,955.45 and 85,322.30

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Solution

The fourth proportional to 321,984.70, 482,955.45 and 85,322.30 is: 127,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,984.70 : 482,955.45 = 85,322.30 : x
  2. Step 2: Convert to fraction form
    321,984.70/482,955.45 = 85,322.30/x
  3. Step 3: Cross multiply
    321,984.70x = 482,955.45 × 85,322.30
  4. Step 4: Simplify right side
    321,984.70x = 41,206,869,791.54
  5. Step 5: Solve for x
    x = 41,206,869,791.54/321,984.70
  6. Step 6: Final answer
    x = 127,977.73

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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.