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Finding the Fourth Proportional to 276,732.44, 415,131.91 and 261,598.83

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Solution

The fourth proportional to 276,732.44, 415,131.91 and 261,598.83 is: 392,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,732.44 : 415,131.91 = 261,598.83 : x
  2. Step 2: Convert to fraction form
    276,732.44/415,131.91 = 261,598.83/x
  3. Step 3: Cross multiply
    276,732.44x = 415,131.91 × 261,598.83
  4. Step 4: Simplify right side
    276,732.44x = 108,598,021,951.67
  5. Step 5: Solve for x
    x = 108,598,021,951.67/276,732.44
  6. Step 6: Final answer
    x = 392,429.68

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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.