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Finding the Fourth Proportional to 263,592, 394,396 and 184,859.84

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Solution

The fourth proportional to 263,592, 394,396 and 184,859.84 is: 276,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,592 : 394,396 = 184,859.84 : x
  2. Step 2: Convert to fraction form
    263,592/394,396 = 184,859.84/x
  3. Step 3: Cross multiply
    263,592x = 394,396 × 184,859.84
  4. Step 4: Simplify right side
    263,592x = 72,907,981,456.64
  5. Step 5: Solve for x
    x = 72,907,981,456.64/263,592
  6. Step 6: Final answer
    x = 276,594.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.