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Finding the Fourth Proportional to 304,203.55, 419,857.06 and 195,443.85

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Solution

The fourth proportional to 304,203.55, 419,857.06 and 195,443.85 is: 269,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203.55 : 419,857.06 = 195,443.85 : x
  2. Step 2: Convert to fraction form
    304,203.55/419,857.06 = 195,443.85/x
  3. Step 3: Cross multiply
    304,203.55x = 419,857.06 × 195,443.85
  4. Step 4: Simplify right side
    304,203.55x = 82,058,479,695.05
  5. Step 5: Solve for x
    x = 82,058,479,695.05/304,203.55
  6. Step 6: Final answer
    x = 269,748.59

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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.