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Finding the Fourth Proportional to 299,233, 412,947.30 and 165,094.12

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Solution

The fourth proportional to 299,233, 412,947.30 and 165,094.12 is: 227,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,233 : 412,947.30 = 165,094.12 : x
  2. Step 2: Convert to fraction form
    299,233/412,947.30 = 165,094.12/x
  3. Step 3: Cross multiply
    299,233x = 412,947.30 × 165,094.12
  4. Step 4: Simplify right side
    299,233x = 68,175,171,099.88
  5. Step 5: Solve for x
    x = 68,175,171,099.88/299,233
  6. Step 6: Final answer
    x = 227,833.06

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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.