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Finding the Fourth Proportional to 494,351.76, 682,203.84 and 267,997.32

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Solution

The fourth proportional to 494,351.76, 682,203.84 and 267,997.32 is: 369,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,351.76 : 682,203.84 = 267,997.32 : x
  2. Step 2: Convert to fraction form
    494,351.76/682,203.84 = 267,997.32/x
  3. Step 3: Cross multiply
    494,351.76x = 682,203.84 × 267,997.32
  4. Step 4: Simplify right side
    494,351.76x = 182,828,800,813.71
  5. Step 5: Solve for x
    x = 182,828,800,813.71/494,351.76
  6. Step 6: Final answer
    x = 369,835.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.