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Finding the Fourth Proportional to 292,921.38, 404,014.43 and 206,790.57

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Solution

The fourth proportional to 292,921.38, 404,014.43 and 206,790.57 is: 285,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,921.38 : 404,014.43 = 206,790.57 : x
  2. Step 2: Convert to fraction form
    292,921.38/404,014.43 = 206,790.57/x
  3. Step 3: Cross multiply
    292,921.38x = 404,014.43 × 206,790.57
  4. Step 4: Simplify right side
    292,921.38x = 83,546,373,233.97
  5. Step 5: Solve for x
    x = 83,546,373,233.97/292,921.38
  6. Step 6: Final answer
    x = 285,217.74

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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.