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Finding the Fourth Proportional to 547,448.82, 755,369.80 and 305,694.20

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Solution

The fourth proportional to 547,448.82, 755,369.80 and 305,694.20 is: 421,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,448.82 : 755,369.80 = 305,694.20 : x
  2. Step 2: Convert to fraction form
    547,448.82/755,369.80 = 305,694.20/x
  3. Step 3: Cross multiply
    547,448.82x = 755,369.80 × 305,694.20
  4. Step 4: Simplify right side
    547,448.82x = 230,912,162,174.08
  5. Step 5: Solve for x
    x = 230,912,162,174.08/547,448.82
  6. Step 6: Final answer
    x = 421,796.80

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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.