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Finding the Fourth Proportional to 276,950.30, 415,097.40 and 206,747.60

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Solution

The fourth proportional to 276,950.30, 415,097.40 and 206,747.60 is: 309,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,950.30 : 415,097.40 = 206,747.60 : x
  2. Step 2: Convert to fraction form
    276,950.30/415,097.40 = 206,747.60/x
  3. Step 3: Cross multiply
    276,950.30x = 415,097.40 × 206,747.60
  4. Step 4: Simplify right side
    276,950.30x = 85,820,391,216.24
  5. Step 5: Solve for x
    x = 85,820,391,216.24/276,950.30
  6. Step 6: Final answer
    x = 309,876.51

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Why These Related Problems?

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