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Finding the Fourth Proportional to 410,069.46, 565,912.26 and 228,797.23

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Solution

The fourth proportional to 410,069.46, 565,912.26 and 228,797.23 is: 315,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,069.46 : 565,912.26 = 228,797.23 : x
  2. Step 2: Convert to fraction form
    410,069.46/565,912.26 = 228,797.23/x
  3. Step 3: Cross multiply
    410,069.46x = 565,912.26 × 228,797.23
  4. Step 4: Simplify right side
    410,069.46x = 129,479,158,427.23
  5. Step 5: Solve for x
    x = 129,479,158,427.23/410,069.46
  6. Step 6: Final answer
    x = 315,749.33

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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.