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Finding the Fourth Proportional to 394,098.50, 543,858.10 and 215,250.50

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Solution

The fourth proportional to 394,098.50, 543,858.10 and 215,250.50 is: 297,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,098.50 : 543,858.10 = 215,250.50 : x
  2. Step 2: Convert to fraction form
    394,098.50/543,858.10 = 215,250.50/x
  3. Step 3: Cross multiply
    394,098.50x = 543,858.10 × 215,250.50
  4. Step 4: Simplify right side
    394,098.50x = 117,065,727,954.05
  5. Step 5: Solve for x
    x = 117,065,727,954.05/394,098.50
  6. Step 6: Final answer
    x = 297,046.88

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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.