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Finding the Fourth Proportional to 296,286.24, 408,450 and 211,255.84

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Solution

The fourth proportional to 296,286.24, 408,450 and 211,255.84 is: 291,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,286.24 : 408,450 = 211,255.84 : x
  2. Step 2: Convert to fraction form
    296,286.24/408,450 = 211,255.84/x
  3. Step 3: Cross multiply
    296,286.24x = 408,450 × 211,255.84
  4. Step 4: Simplify right side
    296,286.24x = 86,287,447,848
  5. Step 5: Solve for x
    x = 86,287,447,848/296,286.24
  6. Step 6: Final answer
    x = 291,230.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.