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Finding the Fourth Proportional to 353,963.24, 488,469.06 and 194,987.24

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Solution

The fourth proportional to 353,963.24, 488,469.06 and 194,987.24 is: 269,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,963.24 : 488,469.06 = 194,987.24 : x
  2. Step 2: Convert to fraction form
    353,963.24/488,469.06 = 194,987.24/x
  3. Step 3: Cross multiply
    353,963.24x = 488,469.06 × 194,987.24
  4. Step 4: Simplify right side
    353,963.24x = 95,245,233,834.79
  5. Step 5: Solve for x
    x = 95,245,233,834.79/353,963.24
  6. Step 6: Final answer
    x = 269,082.27

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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.