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Finding the Fourth Proportional to 276,808.40, 415,212.60 and 206,824.40

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Solution

The fourth proportional to 276,808.40, 415,212.60 and 206,824.40 is: 310,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,808.40 : 415,212.60 = 206,824.40 : x
  2. Step 2: Convert to fraction form
    276,808.40/415,212.60 = 206,824.40/x
  3. Step 3: Cross multiply
    276,808.40x = 415,212.60 × 206,824.40
  4. Step 4: Simplify right side
    276,808.40x = 85,876,096,867.44
  5. Step 5: Solve for x
    x = 85,876,096,867.44/276,808.40
  6. Step 6: Final answer
    x = 310,236.60

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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.