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Finding the Fourth Proportional to 276,003.75, 413,900.54 and 181,208.58

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Solution

The fourth proportional to 276,003.75, 413,900.54 and 181,208.58 is: 271,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,003.75 : 413,900.54 = 181,208.58 : x
  2. Step 2: Convert to fraction form
    276,003.75/413,900.54 = 181,208.58/x
  3. Step 3: Cross multiply
    276,003.75x = 413,900.54 × 181,208.58
  4. Step 4: Simplify right side
    276,003.75x = 75,002,328,208.59
  5. Step 5: Solve for x
    x = 75,002,328,208.59/276,003.75
  6. Step 6: Final answer
    x = 271,743.87

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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.