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Finding the Fourth Proportional to 304,267.40, 419,749.32 and 196,872.44

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Solution

The fourth proportional to 304,267.40, 419,749.32 and 196,872.44 is: 271,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,267.40 : 419,749.32 = 196,872.44 : x
  2. Step 2: Convert to fraction form
    304,267.40/419,749.32 = 196,872.44/x
  3. Step 3: Cross multiply
    304,267.40x = 419,749.32 × 196,872.44
  4. Step 4: Simplify right side
    304,267.40x = 82,637,072,816.74
  5. Step 5: Solve for x
    x = 82,637,072,816.74/304,267.40
  6. Step 6: Final answer
    x = 271,593.58

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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.