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Finding the Fourth Proportional to 304,147.89, 419,687.46 and 168,163.47

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Solution

The fourth proportional to 304,147.89, 419,687.46 and 168,163.47 is: 232,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,147.89 : 419,687.46 = 168,163.47 : x
  2. Step 2: Convert to fraction form
    304,147.89/419,687.46 = 168,163.47/x
  3. Step 3: Cross multiply
    304,147.89x = 419,687.46 × 168,163.47
  4. Step 4: Simplify right side
    304,147.89x = 70,576,099,589.09
  5. Step 5: Solve for x
    x = 70,576,099,589.09/304,147.89
  6. Step 6: Final answer
    x = 232,045.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.