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Finding the Fourth Proportional to 276,924.80, 415,059.15 and 206,722.10

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Solution

The fourth proportional to 276,924.80, 415,059.15 and 206,722.10 is: 309,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,924.80 : 415,059.15 = 206,722.10 : x
  2. Step 2: Convert to fraction form
    276,924.80/415,059.15 = 206,722.10/x
  3. Step 3: Cross multiply
    276,924.80x = 415,059.15 × 206,722.10
  4. Step 4: Simplify right side
    276,924.80x = 85,801,899,112.22
  5. Step 5: Solve for x
    x = 85,801,899,112.22/276,924.80
  6. Step 6: Final answer
    x = 309,838.26

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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.