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Finding the Fourth Proportional to 494,050.56, 681,792.12 and 267,696

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Solution

The fourth proportional to 494,050.56, 681,792.12 and 267,696 is: 369,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,050.56 : 681,792.12 = 267,696 : x
  2. Step 2: Convert to fraction form
    494,050.56/681,792.12 = 267,696/x
  3. Step 3: Cross multiply
    494,050.56x = 681,792.12 × 267,696
  4. Step 4: Simplify right side
    494,050.56x = 182,513,023,355.52
  5. Step 5: Solve for x
    x = 182,513,023,355.52/494,050.56
  6. Step 6: Final answer
    x = 369,421.75

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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.