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Finding the Fourth Proportional to 397,144.56, 548,071.74 and 227,433.36

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Solution

The fourth proportional to 397,144.56, 548,071.74 and 227,433.36 is: 313,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,144.56 : 548,071.74 = 227,433.36 : x
  2. Step 2: Convert to fraction form
    397,144.56/548,071.74 = 227,433.36/x
  3. Step 3: Cross multiply
    397,144.56x = 548,071.74 × 227,433.36
  4. Step 4: Simplify right side
    397,144.56x = 124,649,797,349.25
  5. Step 5: Solve for x
    x = 124,649,797,349.25/397,144.56
  6. Step 6: Final answer
    x = 313,865.05

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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.