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Finding the Fourth Proportional to 321,693.80, 482,847.90 and 274,999.40

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Solution

The fourth proportional to 321,693.80, 482,847.90 and 274,999.40 is: 412,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693.80 : 482,847.90 = 274,999.40 : x
  2. Step 2: Convert to fraction form
    321,693.80/482,847.90 = 274,999.40/x
  3. Step 3: Cross multiply
    321,693.80x = 482,847.90 × 274,999.40
  4. Step 4: Simplify right side
    321,693.80x = 132,782,882,791.26
  5. Step 5: Solve for x
    x = 132,782,882,791.26/321,693.80
  6. Step 6: Final answer
    x = 412,761.71

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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.