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Finding the Fourth Proportional to 412,237.94, 568,881.41 and 230,949.27

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Solution

The fourth proportional to 412,237.94, 568,881.41 and 230,949.27 is: 318,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,237.94 : 568,881.41 = 230,949.27 : x
  2. Step 2: Convert to fraction form
    412,237.94/568,881.41 = 230,949.27/x
  3. Step 3: Cross multiply
    412,237.94x = 568,881.41 × 230,949.27
  4. Step 4: Simplify right side
    412,237.94x = 131,382,745,201.32
  5. Step 5: Solve for x
    x = 131,382,745,201.32/412,237.94
  6. Step 6: Final answer
    x = 318,706.10

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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.