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Finding the Fourth Proportional to 416,408.90, 624,519.75 and 191,553.44

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Solution

The fourth proportional to 416,408.90, 624,519.75 and 191,553.44 is: 287,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.90 : 624,519.75 = 191,553.44 : x
  2. Step 2: Convert to fraction form
    416,408.90/624,519.75 = 191,553.44/x
  3. Step 3: Cross multiply
    416,408.90x = 624,519.75 × 191,553.44
  4. Step 4: Simplify right side
    416,408.90x = 119,628,906,460.44
  5. Step 5: Solve for x
    x = 119,628,906,460.44/416,408.90
  6. Step 6: Final answer
    x = 287,287.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.