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Finding the Fourth Proportional to 493,704.80, 681,315.12 and 267,351.20

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Solution

The fourth proportional to 493,704.80, 681,315.12 and 267,351.20 is: 368,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,704.80 : 681,315.12 = 267,351.20 : x
  2. Step 2: Convert to fraction form
    493,704.80/681,315.12 = 267,351.20/x
  3. Step 3: Cross multiply
    493,704.80x = 681,315.12 × 267,351.20
  4. Step 4: Simplify right side
    493,704.80x = 182,150,414,910.14
  5. Step 5: Solve for x
    x = 182,150,414,910.14/493,704.80
  6. Step 6: Final answer
    x = 368,946.01

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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.