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Finding the Fourth Proportional to 299,226.42, 412,948.26 and 171,910.26

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Solution

The fourth proportional to 299,226.42, 412,948.26 and 171,910.26 is: 237,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,226.42 : 412,948.26 = 171,910.26 : x
  2. Step 2: Convert to fraction form
    299,226.42/412,948.26 = 171,910.26/x
  3. Step 3: Cross multiply
    299,226.42x = 412,948.26 × 171,910.26
  4. Step 4: Simplify right side
    299,226.42x = 70,990,042,743.15
  5. Step 5: Solve for x
    x = 70,990,042,743.15/299,226.42
  6. Step 6: Final answer
    x = 237,245.24

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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.