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Finding the Fourth Proportional to 428,186.45, 590,933.37 and 237,217.61

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Solution

The fourth proportional to 428,186.45, 590,933.37 and 237,217.61 is: 327,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,186.45 : 590,933.37 = 237,217.61 : x
  2. Step 2: Convert to fraction form
    428,186.45/590,933.37 = 237,217.61/x
  3. Step 3: Cross multiply
    428,186.45x = 590,933.37 × 237,217.61
  4. Step 4: Simplify right side
    428,186.45x = 140,179,804,067.55
  5. Step 5: Solve for x
    x = 140,179,804,067.55/428,186.45
  6. Step 6: Final answer
    x = 327,380.29

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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.