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Finding the Fourth Proportional to 321,431.50, 482,243.61 and 96,799.24

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Solution

The fourth proportional to 321,431.50, 482,243.61 and 96,799.24 is: 145,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,431.50 : 482,243.61 = 96,799.24 : x
  2. Step 2: Convert to fraction form
    321,431.50/482,243.61 = 96,799.24/x
  3. Step 3: Cross multiply
    321,431.50x = 482,243.61 × 96,799.24
  4. Step 4: Simplify right side
    321,431.50x = 46,680,814,942.86
  5. Step 5: Solve for x
    x = 46,680,814,942.86/321,431.50
  6. Step 6: Final answer
    x = 145,227.88

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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.