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Finding the Fourth Proportional to 304,093.44, 419,632 and 168,119.45

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Solution

The fourth proportional to 304,093.44, 419,632 and 168,119.45 is: 231,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,093.44 : 419,632 = 168,119.45 : x
  2. Step 2: Convert to fraction form
    304,093.44/419,632 = 168,119.45/x
  3. Step 3: Cross multiply
    304,093.44x = 419,632 × 168,119.45
  4. Step 4: Simplify right side
    304,093.44x = 70,548,301,042.40
  5. Step 5: Solve for x
    x = 70,548,301,042.40/304,093.44
  6. Step 6: Final answer
    x = 231,995.47

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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.