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Finding the Fourth Proportional to 494,116.48, 681,880.68 and 267,762

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Solution

The fourth proportional to 494,116.48, 681,880.68 and 267,762 is: 369,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,116.48 : 681,880.68 = 267,762 : x
  2. Step 2: Convert to fraction form
    494,116.48/681,880.68 = 267,762/x
  3. Step 3: Cross multiply
    494,116.48x = 681,880.68 × 267,762
  4. Step 4: Simplify right side
    494,116.48x = 182,581,734,638.16
  5. Step 5: Solve for x
    x = 182,581,734,638.16/494,116.48
  6. Step 6: Final answer
    x = 369,511.53

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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.