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Finding the Fourth Proportional to 408,438.09, 563,611.91 and 227,150.37

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Solution

The fourth proportional to 408,438.09, 563,611.91 and 227,150.37 is: 313,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,438.09 : 563,611.91 = 227,150.37 : x
  2. Step 2: Convert to fraction form
    408,438.09/563,611.91 = 227,150.37/x
  3. Step 3: Cross multiply
    408,438.09x = 563,611.91 × 227,150.37
  4. Step 4: Simplify right side
    408,438.09x = 128,024,652,757.16
  5. Step 5: Solve for x
    x = 128,024,652,757.16/408,438.09
  6. Step 6: Final answer
    x = 313,449.35

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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.