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Finding the Fourth Proportional to 494,010.40, 681,736.80 and 267,655.90

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Solution

The fourth proportional to 494,010.40, 681,736.80 and 267,655.90 is: 369,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,010.40 : 681,736.80 = 267,655.90 : x
  2. Step 2: Convert to fraction form
    494,010.40/681,736.80 = 267,655.90/x
  3. Step 3: Cross multiply
    494,010.40x = 681,736.80 × 267,655.90
  4. Step 4: Simplify right side
    494,010.40x = 182,470,876,767.12
  5. Step 5: Solve for x
    x = 182,470,876,767.12/494,010.40
  6. Step 6: Final answer
    x = 369,366.47

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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.