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Finding the Fourth Proportional to 320,667.84, 442,783.20 and 206,003.43

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Solution

The fourth proportional to 320,667.84, 442,783.20 and 206,003.43 is: 284,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,667.84 : 442,783.20 = 206,003.43 : x
  2. Step 2: Convert to fraction form
    320,667.84/442,783.20 = 206,003.43/x
  3. Step 3: Cross multiply
    320,667.84x = 442,783.20 × 206,003.43
  4. Step 4: Simplify right side
    320,667.84x = 91,214,857,946.38
  5. Step 5: Solve for x
    x = 91,214,857,946.38/320,667.84
  6. Step 6: Final answer
    x = 284,452.78

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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.