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Finding the Fourth Proportional to 428,231.45, 590,936.14 and 237,233.45

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Solution

The fourth proportional to 428,231.45, 590,936.14 and 237,233.45 is: 327,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,231.45 : 590,936.14 = 237,233.45 : x
  2. Step 2: Convert to fraction form
    428,231.45/590,936.14 = 237,233.45/x
  3. Step 3: Cross multiply
    428,231.45x = 590,936.14 × 237,233.45
  4. Step 4: Simplify right side
    428,231.45x = 140,189,820,995.77
  5. Step 5: Solve for x
    x = 140,189,820,995.77/428,231.45
  6. Step 6: Final answer
    x = 327,369.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.