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Finding the Fourth Proportional to 367,410.28, 506,991.19 and 206,228.38

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Solution

The fourth proportional to 367,410.28, 506,991.19 and 206,228.38 is: 284,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,410.28 : 506,991.19 = 206,228.38 : x
  2. Step 2: Convert to fraction form
    367,410.28/506,991.19 = 206,228.38/x
  3. Step 3: Cross multiply
    367,410.28x = 506,991.19 × 206,228.38
  4. Step 4: Simplify right side
    367,410.28x = 104,555,968,221.87
  5. Step 5: Solve for x
    x = 104,555,968,221.87/367,410.28
  6. Step 6: Final answer
    x = 284,575.51

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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.