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Finding the Fourth Proportional to 264,232.26, 396,414.25 and 77,243.76

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Solution

The fourth proportional to 264,232.26, 396,414.25 and 77,243.76 is: 115,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,232.26 : 396,414.25 = 77,243.76 : x
  2. Step 2: Convert to fraction form
    264,232.26/396,414.25 = 77,243.76/x
  3. Step 3: Cross multiply
    264,232.26x = 396,414.25 × 77,243.76
  4. Step 4: Simplify right side
    264,232.26x = 30,620,526,994.47
  5. Step 5: Solve for x
    x = 30,620,526,994.47/264,232.26
  6. Step 6: Final answer
    x = 115,884.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.