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Finding the Fourth Proportional to 304,227.28, 419,747.88 and 181,705.24

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Solution

The fourth proportional to 304,227.28, 419,747.88 and 181,705.24 is: 250,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,227.28 : 419,747.88 = 181,705.24 : x
  2. Step 2: Convert to fraction form
    304,227.28/419,747.88 = 181,705.24/x
  3. Step 3: Cross multiply
    304,227.28x = 419,747.88 × 181,705.24
  4. Step 4: Simplify right side
    304,227.28x = 76,270,389,274.89
  5. Step 5: Solve for x
    x = 76,270,389,274.89/304,227.28
  6. Step 6: Final answer
    x = 250,702.01

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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.