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Finding the Fourth Proportional to 311,997.51, 467,709.26 and 169,634.79

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Solution

The fourth proportional to 311,997.51, 467,709.26 and 169,634.79 is: 254,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,997.51 : 467,709.26 = 169,634.79 : x
  2. Step 2: Convert to fraction form
    311,997.51/467,709.26 = 169,634.79/x
  3. Step 3: Cross multiply
    311,997.51x = 467,709.26 × 169,634.79
  4. Step 4: Simplify right side
    311,997.51x = 79,339,761,252.98
  5. Step 5: Solve for x
    x = 79,339,761,252.98/311,997.51
  6. Step 6: Final answer
    x = 254,296.14

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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.