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Finding the Fourth Proportional to 263,895.57, 395,843.76 and 64,214.78

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Solution

The fourth proportional to 263,895.57, 395,843.76 and 64,214.78 is: 96,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,895.57 : 395,843.76 = 64,214.78 : x
  2. Step 2: Convert to fraction form
    263,895.57/395,843.76 = 64,214.78/x
  3. Step 3: Cross multiply
    263,895.57x = 395,843.76 × 64,214.78
  4. Step 4: Simplify right side
    263,895.57x = 25,419,017,983.55
  5. Step 5: Solve for x
    x = 25,419,017,983.55/263,895.57
  6. Step 6: Final answer
    x = 96,322.26

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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.