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Finding the Fourth Proportional to 409,745.44, 565,451.60 and 228,469.24

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Solution

The fourth proportional to 409,745.44, 565,451.60 and 228,469.24 is: 315,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,745.44 : 565,451.60 = 228,469.24 : x
  2. Step 2: Convert to fraction form
    409,745.44/565,451.60 = 228,469.24/x
  3. Step 3: Cross multiply
    409,745.44x = 565,451.60 × 228,469.24
  4. Step 4: Simplify right side
    409,745.44x = 129,188,297,308.78
  5. Step 5: Solve for x
    x = 129,188,297,308.78/409,745.44
  6. Step 6: Final answer
    x = 315,289.16

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1.5x scale

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.