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Finding the Fourth Proportional to 494,044.56, 681,783.84 and 267,690

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Solution

The fourth proportional to 494,044.56, 681,783.84 and 267,690 is: 369,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,044.56 : 681,783.84 = 267,690 : x
  2. Step 2: Convert to fraction form
    494,044.56/681,783.84 = 267,690/x
  3. Step 3: Cross multiply
    494,044.56x = 681,783.84 × 267,690
  4. Step 4: Simplify right side
    494,044.56x = 182,506,716,129.60
  5. Step 5: Solve for x
    x = 182,506,716,129.60/494,044.56
  6. Step 6: Final answer
    x = 369,413.47

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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.