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Finding the Fourth Proportional to 494,266.56, 682,087.20 and 267,912

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Solution

The fourth proportional to 494,266.56, 682,087.20 and 267,912 is: 369,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,266.56 : 682,087.20 = 267,912 : x
  2. Step 2: Convert to fraction form
    494,266.56/682,087.20 = 267,912/x
  3. Step 3: Cross multiply
    494,266.56x = 682,087.20 × 267,912
  4. Step 4: Simplify right side
    494,266.56x = 182,739,345,926.40
  5. Step 5: Solve for x
    x = 182,739,345,926.40/494,266.56
  6. Step 6: Final answer
    x = 369,718.21

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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.