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Finding the Fourth Proportional to 264,884.93, 397,327.38 and 77,896.43

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Solution

The fourth proportional to 264,884.93, 397,327.38 and 77,896.43 is: 116,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,884.93 : 397,327.38 = 77,896.43 : x
  2. Step 2: Convert to fraction form
    264,884.93/397,327.38 = 77,896.43/x
  3. Step 3: Cross multiply
    264,884.93x = 397,327.38 × 77,896.43
  4. Step 4: Simplify right side
    264,884.93x = 30,950,382,456.62
  5. Step 5: Solve for x
    x = 30,950,382,456.62/264,884.93
  6. Step 6: Final answer
    x = 116,844.64

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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.