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Finding the Fourth Proportional to 322,609, 445,200.42 and 181,297

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Solution

The fourth proportional to 322,609, 445,200.42 and 181,297 is: 250,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,609 : 445,200.42 = 181,297 : x
  2. Step 2: Convert to fraction form
    322,609/445,200.42 = 181,297/x
  3. Step 3: Cross multiply
    322,609x = 445,200.42 × 181,297
  4. Step 4: Simplify right side
    322,609x = 80,713,500,544.74
  5. Step 5: Solve for x
    x = 80,713,500,544.74/322,609
  6. Step 6: Final answer
    x = 250,189.86

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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.