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Finding the Fourth Proportional to 394,058.88, 543,801.86 and 224,293

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Solution

The fourth proportional to 394,058.88, 543,801.86 and 224,293 is: 309,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,058.88 : 543,801.86 = 224,293 : x
  2. Step 2: Convert to fraction form
    394,058.88/543,801.86 = 224,293/x
  3. Step 3: Cross multiply
    394,058.88x = 543,801.86 × 224,293
  4. Step 4: Simplify right side
    394,058.88x = 121,970,950,584.98
  5. Step 5: Solve for x
    x = 121,970,950,584.98/394,058.88
  6. Step 6: Final answer
    x = 309,524.68

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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.