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Finding the Fourth Proportional to 367,325.64, 506,870.33 and 206,198.42

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Solution

The fourth proportional to 367,325.64, 506,870.33 and 206,198.42 is: 284,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,325.64 : 506,870.33 = 206,198.42 : x
  2. Step 2: Convert to fraction form
    367,325.64/506,870.33 = 206,198.42/x
  3. Step 3: Cross multiply
    367,325.64x = 506,870.33 × 206,198.42
  4. Step 4: Simplify right side
    367,325.64x = 104,515,857,625.54
  5. Step 5: Solve for x
    x = 104,515,857,625.54/367,325.64
  6. Step 6: Final answer
    x = 284,531.89

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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.