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Finding the Fourth Proportional to 412,243.50, 568,896.09 and 233,395.50

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Solution

The fourth proportional to 412,243.50, 568,896.09 and 233,395.50 is: 322,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,243.50 : 568,896.09 = 233,395.50 : x
  2. Step 2: Convert to fraction form
    412,243.50/568,896.09 = 233,395.50/x
  3. Step 3: Cross multiply
    412,243.50x = 568,896.09 × 233,395.50
  4. Step 4: Simplify right side
    412,243.50x = 132,777,787,373.60
  5. Step 5: Solve for x
    x = 132,777,787,373.60/412,243.50
  6. Step 6: Final answer
    x = 322,085.82

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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.