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Finding the Fourth Proportional to 276,512.59, 414,768.65 and 76,832.88

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Solution

The fourth proportional to 276,512.59, 414,768.65 and 76,832.88 is: 115,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,512.59 : 414,768.65 = 76,832.88 : x
  2. Step 2: Convert to fraction form
    276,512.59/414,768.65 = 76,832.88/x
  3. Step 3: Cross multiply
    276,512.59x = 414,768.65 × 76,832.88
  4. Step 4: Simplify right side
    276,512.59x = 31,867,869,913.21
  5. Step 5: Solve for x
    x = 31,867,869,913.21/276,512.59
  6. Step 6: Final answer
    x = 115,249.25

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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.