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Finding the Fourth Proportional to 304,047.27, 419,542.34 and 174,936.69

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Solution

The fourth proportional to 304,047.27, 419,542.34 and 174,936.69 is: 241,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,047.27 : 419,542.34 = 174,936.69 : x
  2. Step 2: Convert to fraction form
    304,047.27/419,542.34 = 174,936.69/x
  3. Step 3: Cross multiply
    304,047.27x = 419,542.34 × 174,936.69
  4. Step 4: Simplify right side
    304,047.27x = 73,393,347,399.77
  5. Step 5: Solve for x
    x = 73,393,347,399.77/304,047.27
  6. Step 6: Final answer
    x = 241,387.95

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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.