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Finding the Fourth Proportional to 469,481.76, 647,882.96 and 254,620.96

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Solution

The fourth proportional to 469,481.76, 647,882.96 and 254,620.96 is: 351,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,481.76 : 647,882.96 = 254,620.96 : x
  2. Step 2: Convert to fraction form
    469,481.76/647,882.96 = 254,620.96/x
  3. Step 3: Cross multiply
    469,481.76x = 647,882.96 × 254,620.96
  4. Step 4: Simplify right side
    469,481.76x = 164,964,581,242.84
  5. Step 5: Solve for x
    x = 164,964,581,242.84/469,481.76
  6. Step 6: Final answer
    x = 351,375.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.