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Finding the Fourth Proportional to 408,113.28, 563,189.04 and 226,822.32

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Solution

The fourth proportional to 408,113.28, 563,189.04 and 226,822.32 is: 313,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,113.28 : 563,189.04 = 226,822.32 : x
  2. Step 2: Convert to fraction form
    408,113.28/563,189.04 = 226,822.32/x
  3. Step 3: Cross multiply
    408,113.28x = 563,189.04 × 226,822.32
  4. Step 4: Simplify right side
    408,113.28x = 127,743,844,651.37
  5. Step 5: Solve for x
    x = 127,743,844,651.37/408,113.28
  6. Step 6: Final answer
    x = 313,010.75

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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.