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Finding the Fourth Proportional to 311,648.46, 467,887.41 and 164,008.14

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Solution

The fourth proportional to 311,648.46, 467,887.41 and 164,008.14 is: 246,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,648.46 : 467,887.41 = 164,008.14 : x
  2. Step 2: Convert to fraction form
    311,648.46/467,887.41 = 164,008.14/x
  3. Step 3: Cross multiply
    311,648.46x = 467,887.41 × 164,008.14
  4. Step 4: Simplify right side
    311,648.46x = 76,737,343,843.52
  5. Step 5: Solve for x
    x = 76,737,343,843.52/311,648.46
  6. Step 6: Final answer
    x = 246,230.46

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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.