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Finding the Fourth Proportional to 376,259.96, 519,221.40 and 206,496.92

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Solution

The fourth proportional to 376,259.96, 519,221.40 and 206,496.92 is: 284,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,259.96 : 519,221.40 = 206,496.92 : x
  2. Step 2: Convert to fraction form
    376,259.96/519,221.40 = 206,496.92/x
  3. Step 3: Cross multiply
    376,259.96x = 519,221.40 × 206,496.92
  4. Step 4: Simplify right side
    376,259.96x = 107,217,619,898.09
  5. Step 5: Solve for x
    x = 107,217,619,898.09/376,259.96
  6. Step 6: Final answer
    x = 284,956.23

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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.