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Finding the Fourth Proportional to 547,716.33, 755,863.95 and 306,025.49

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Solution

The fourth proportional to 547,716.33, 755,863.95 and 306,025.49 is: 422,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,716.33 : 755,863.95 = 306,025.49 : x
  2. Step 2: Convert to fraction form
    547,716.33/755,863.95 = 306,025.49/x
  3. Step 3: Cross multiply
    547,716.33x = 755,863.95 × 306,025.49
  4. Step 4: Simplify right side
    547,716.33x = 231,313,638,709.34
  5. Step 5: Solve for x
    x = 231,313,638,709.34/547,716.33
  6. Step 6: Final answer
    x = 422,323.79

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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.