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Finding the Fourth Proportional to 299,241, 412,961.22 and 165,113.64

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Solution

The fourth proportional to 299,241, 412,961.22 and 165,113.64 is: 227,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,241 : 412,961.22 = 165,113.64 : x
  2. Step 2: Convert to fraction form
    299,241/412,961.22 = 165,113.64/x
  3. Step 3: Cross multiply
    299,241x = 412,961.22 × 165,113.64
  4. Step 4: Simplify right side
    299,241x = 68,185,530,213.04
  5. Step 5: Solve for x
    x = 68,185,530,213.04/299,241
  6. Step 6: Final answer
    x = 227,861.59

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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.