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Finding the Fourth Proportional to 279,630.32, 419,469.69 and 77,226.50

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Solution

The fourth proportional to 279,630.32, 419,469.69 and 77,226.50 is: 115,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,630.32 : 419,469.69 = 77,226.50 : x
  2. Step 2: Convert to fraction form
    279,630.32/419,469.69 = 77,226.50/x
  3. Step 3: Cross multiply
    279,630.32x = 419,469.69 × 77,226.50
  4. Step 4: Simplify right side
    279,630.32x = 32,394,173,917.44
  5. Step 5: Solve for x
    x = 32,394,173,917.44/279,630.32
  6. Step 6: Final answer
    x = 115,846.43

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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.