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Finding the Fourth Proportional to 300,098.36, 413,940.24 and 192,497.96

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Solution

The fourth proportional to 300,098.36, 413,940.24 and 192,497.96 is: 265,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,098.36 : 413,940.24 = 192,497.96 : x
  2. Step 2: Convert to fraction form
    300,098.36/413,940.24 = 192,497.96/x
  3. Step 3: Cross multiply
    300,098.36x = 413,940.24 × 192,497.96
  4. Step 4: Simplify right side
    300,098.36x = 79,682,651,761.91
  5. Step 5: Solve for x
    x = 79,682,651,761.91/300,098.36
  6. Step 6: Final answer
    x = 265,521.78

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1.5x scale

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.