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Finding the Fourth Proportional to 494,064.56, 681,811.48 and 267,710

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Solution

The fourth proportional to 494,064.56, 681,811.48 and 267,710 is: 369,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,064.56 : 681,811.48 = 267,710 : x
  2. Step 2: Convert to fraction form
    494,064.56/681,811.48 = 267,710/x
  3. Step 3: Cross multiply
    494,064.56x = 681,811.48 × 267,710
  4. Step 4: Simplify right side
    494,064.56x = 182,527,751,310.80
  5. Step 5: Solve for x
    x = 182,527,751,310.80/494,064.56
  6. Step 6: Final answer
    x = 369,441.09

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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.