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Finding the Fourth Proportional to 414,749.88, 622,874.26 and 381,408.44

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Solution

The fourth proportional to 414,749.88, 622,874.26 and 381,408.44 is: 572,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,749.88 : 622,874.26 = 381,408.44 : x
  2. Step 2: Convert to fraction form
    414,749.88/622,874.26 = 381,408.44/x
  3. Step 3: Cross multiply
    414,749.88x = 622,874.26 × 381,408.44
  4. Step 4: Simplify right side
    414,749.88x = 237,569,499,822.75
  5. Step 5: Solve for x
    x = 237,569,499,822.75/414,749.88
  6. Step 6: Final answer
    x = 572,801.85

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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.