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Finding the Fourth Proportional to 304,213.24, 419,943.54 and 189,548.53

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Solution

The fourth proportional to 304,213.24, 419,943.54 and 189,548.53 is: 261,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,213.24 : 419,943.54 = 189,548.53 : x
  2. Step 2: Convert to fraction form
    304,213.24/419,943.54 = 189,548.53/x
  3. Step 3: Cross multiply
    304,213.24x = 419,943.54 × 189,548.53
  4. Step 4: Simplify right side
    304,213.24x = 79,599,682,290.31
  5. Step 5: Solve for x
    x = 79,599,682,290.31/304,213.24
  6. Step 6: Final answer
    x = 261,657.52

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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.