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Finding the Fourth Proportional to 376,481.84, 519,553.32 and 206,716.64

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Solution

The fourth proportional to 376,481.84, 519,553.32 and 206,716.64 is: 285,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,481.84 : 519,553.32 = 206,716.64 : x
  2. Step 2: Convert to fraction form
    376,481.84/519,553.32 = 206,716.64/x
  3. Step 3: Cross multiply
    376,481.84x = 519,553.32 × 206,716.64
  4. Step 4: Simplify right side
    376,481.84x = 107,400,316,611.25
  5. Step 5: Solve for x
    x = 107,400,316,611.25/376,481.84
  6. Step 6: Final answer
    x = 285,273.56

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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.