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Finding the Fourth Proportional to 367,392.41, 506,997.07 and 206,243.31

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Solution

The fourth proportional to 367,392.41, 506,997.07 and 206,243.31 is: 284,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,392.41 : 506,997.07 = 206,243.31 : x
  2. Step 2: Convert to fraction form
    367,392.41/506,997.07 = 206,243.31/x
  3. Step 3: Cross multiply
    367,392.41x = 506,997.07 × 206,243.31
  4. Step 4: Simplify right side
    367,392.41x = 104,564,756,422.85
  5. Step 5: Solve for x
    x = 104,564,756,422.85/367,392.41
  6. Step 6: Final answer
    x = 284,613.27

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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.