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Finding the Fourth Proportional to 412,203, 568,840.14 and 233,355

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Solution

The fourth proportional to 412,203, 568,840.14 and 233,355 is: 322,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,203 : 568,840.14 = 233,355 : x
  2. Step 2: Convert to fraction form
    412,203/568,840.14 = 233,355/x
  3. Step 3: Cross multiply
    412,203x = 568,840.14 × 233,355
  4. Step 4: Simplify right side
    412,203x = 132,741,690,869.70
  5. Step 5: Solve for x
    x = 132,741,690,869.70/412,203
  6. Step 6: Final answer
    x = 322,029.90

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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.