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Finding the Fourth Proportional to 275,764.66, 413,597.70 and 73,361.86

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Solution

The fourth proportional to 275,764.66, 413,597.70 and 73,361.86 is: 110,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,764.66 : 413,597.70 = 73,361.86 : x
  2. Step 2: Convert to fraction form
    275,764.66/413,597.70 = 73,361.86/x
  3. Step 3: Cross multiply
    275,764.66x = 413,597.70 × 73,361.86
  4. Step 4: Simplify right side
    275,764.66x = 30,342,296,563.72
  5. Step 5: Solve for x
    x = 30,342,296,563.72/275,764.66
  6. Step 6: Final answer
    x = 110,029.68

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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.