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Finding the Fourth Proportional to 367,310.34, 506,849.33 and 206,183.12

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Solution

The fourth proportional to 367,310.34, 506,849.33 and 206,183.12 is: 284,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,310.34 : 506,849.33 = 206,183.12 : x
  2. Step 2: Convert to fraction form
    367,310.34/506,849.33 = 206,183.12/x
  3. Step 3: Cross multiply
    367,310.34x = 506,849.33 × 206,183.12
  4. Step 4: Simplify right side
    367,310.34x = 104,503,773,695.06
  5. Step 5: Solve for x
    x = 104,503,773,695.06/367,310.34
  6. Step 6: Final answer
    x = 284,510.84

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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.