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Finding the Fourth Proportional to 367,320.33, 506,863.14 and 206,193.11

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Solution

The fourth proportional to 367,320.33, 506,863.14 and 206,193.11 is: 284,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,320.33 : 506,863.14 = 206,193.11 : x
  2. Step 2: Convert to fraction form
    367,320.33/506,863.14 = 206,193.11/x
  3. Step 3: Cross multiply
    367,320.33x = 506,863.14 × 206,193.11
  4. Step 4: Simplify right side
    367,320.33x = 104,511,684,646.65
  5. Step 5: Solve for x
    x = 104,511,684,646.65/367,320.33
  6. Step 6: Final answer
    x = 284,524.64

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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.