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Finding the Fourth Proportional to 367,668.56, 507,382.84 and 206,523.70

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Solution

The fourth proportional to 367,668.56, 507,382.84 and 206,523.70 is: 285,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,668.56 : 507,382.84 = 206,523.70 : x
  2. Step 2: Convert to fraction form
    367,668.56/507,382.84 = 206,523.70/x
  3. Step 3: Cross multiply
    367,668.56x = 507,382.84 × 206,523.70
  4. Step 4: Simplify right side
    367,668.56x = 104,786,581,433.31
  5. Step 5: Solve for x
    x = 104,786,581,433.31/367,668.56
  6. Step 6: Final answer
    x = 285,002.83

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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.