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Finding the Fourth Proportional to 263,504.66, 395,267.92 and 76,516.16

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Solution

The fourth proportional to 263,504.66, 395,267.92 and 76,516.16 is: 114,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,504.66 : 395,267.92 = 76,516.16 : x
  2. Step 2: Convert to fraction form
    263,504.66/395,267.92 = 76,516.16/x
  3. Step 3: Cross multiply
    263,504.66x = 395,267.92 × 76,516.16
  4. Step 4: Simplify right side
    263,504.66x = 30,244,383,409.59
  5. Step 5: Solve for x
    x = 30,244,383,409.59/263,504.66
  6. Step 6: Final answer
    x = 114,777.41

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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.