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Finding the Fourth Proportional to 266,301.70, 399,452.55 and 206,815.30

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Solution

The fourth proportional to 266,301.70, 399,452.55 and 206,815.30 is: 310,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,301.70 : 399,452.55 = 206,815.30 : x
  2. Step 2: Convert to fraction form
    266,301.70/399,452.55 = 206,815.30/x
  3. Step 3: Cross multiply
    266,301.70x = 399,452.55 × 206,815.30
  4. Step 4: Simplify right side
    266,301.70x = 82,612,898,964.02
  5. Step 5: Solve for x
    x = 82,612,898,964.02/266,301.70
  6. Step 6: Final answer
    x = 310,222.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.