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Finding the Fourth Proportional to 376,481.34, 519,552.63 and 206,716.14

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Solution

The fourth proportional to 376,481.34, 519,552.63 and 206,716.14 is: 285,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,481.34 : 519,552.63 = 206,716.14 : x
  2. Step 2: Convert to fraction form
    376,481.34/519,552.63 = 206,716.14/x
  3. Step 3: Cross multiply
    376,481.34x = 519,552.63 × 206,716.14
  4. Step 4: Simplify right side
    376,481.34x = 107,399,914,200.45
  5. Step 5: Solve for x
    x = 107,399,914,200.45/376,481.34
  6. Step 6: Final answer
    x = 285,272.87

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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.