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Finding the Fourth Proportional to 394,494.50, 590,959.83 and 183,842.66

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Solution

The fourth proportional to 394,494.50, 590,959.83 and 183,842.66 is: 275,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,494.50 : 590,959.83 = 183,842.66 : x
  2. Step 2: Convert to fraction form
    394,494.50/590,959.83 = 183,842.66/x
  3. Step 3: Cross multiply
    394,494.50x = 590,959.83 × 183,842.66
  4. Step 4: Simplify right side
    394,494.50x = 108,643,627,100.35
  5. Step 5: Solve for x
    x = 108,643,627,100.35/394,494.50
  6. Step 6: Final answer
    x = 275,399.60

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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.