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Finding the Fourth Proportional to 376,203.92, 519,167.76 and 206,453.84

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Solution

The fourth proportional to 376,203.92, 519,167.76 and 206,453.84 is: 284,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,203.92 : 519,167.76 = 206,453.84 : x
  2. Step 2: Convert to fraction form
    376,203.92/519,167.76 = 206,453.84/x
  3. Step 3: Cross multiply
    376,203.92x = 519,167.76 × 206,453.84
  4. Step 4: Simplify right side
    376,203.92x = 107,184,177,656.20
  5. Step 5: Solve for x
    x = 107,184,177,656.20/376,203.92
  6. Step 6: Final answer
    x = 284,909.78

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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.