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Finding the Fourth Proportional to 367,207.38, 506,756.22 and 206,072.28

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Solution

The fourth proportional to 367,207.38, 506,756.22 and 206,072.28 is: 284,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,207.38 : 506,756.22 = 206,072.28 : x
  2. Step 2: Convert to fraction form
    367,207.38/506,756.22 = 206,072.28/x
  3. Step 3: Cross multiply
    367,207.38x = 506,756.22 × 206,072.28
  4. Step 4: Simplify right side
    367,207.38x = 104,428,409,659.58
  5. Step 5: Solve for x
    x = 104,428,409,659.58/367,207.38
  6. Step 6: Final answer
    x = 284,385.38

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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.