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Finding the Fourth Proportional to 331,568.64, 497,352.96 and 82,250.64

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Solution

The fourth proportional to 331,568.64, 497,352.96 and 82,250.64 is: 123,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,568.64 : 497,352.96 = 82,250.64 : x
  2. Step 2: Convert to fraction form
    331,568.64/497,352.96 = 82,250.64/x
  3. Step 3: Cross multiply
    331,568.64x = 497,352.96 × 82,250.64
  4. Step 4: Simplify right side
    331,568.64x = 40,907,599,265.89
  5. Step 5: Solve for x
    x = 40,907,599,265.89/331,568.64
  6. Step 6: Final answer
    x = 123,375.96

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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.