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Finding the Fourth Proportional to 326,894.68, 451,241.94 and 206,012.28

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Solution

The fourth proportional to 326,894.68, 451,241.94 and 206,012.28 is: 284,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,894.68 : 451,241.94 = 206,012.28 : x
  2. Step 2: Convert to fraction form
    326,894.68/451,241.94 = 206,012.28/x
  3. Step 3: Cross multiply
    326,894.68x = 451,241.94 × 206,012.28
  4. Step 4: Simplify right side
    326,894.68x = 92,961,380,891.02
  5. Step 5: Solve for x
    x = 92,961,380,891.02/326,894.68
  6. Step 6: Final answer
    x = 284,377.16

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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.