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Finding the Fourth Proportional to 299,617.15, 413,469.20 and 163,651.19

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Solution

The fourth proportional to 299,617.15, 413,469.20 and 163,651.19 is: 225,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,617.15 : 413,469.20 = 163,651.19 : x
  2. Step 2: Convert to fraction form
    299,617.15/413,469.20 = 163,651.19/x
  3. Step 3: Cross multiply
    299,617.15x = 413,469.20 × 163,651.19
  4. Step 4: Simplify right side
    299,617.15x = 67,664,724,336.44
  5. Step 5: Solve for x
    x = 67,664,724,336.44/299,617.15
  6. Step 6: Final answer
    x = 225,837.29

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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.