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Finding the Fourth Proportional to 299,232, 412,940.16 and 165,096

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Solution

The fourth proportional to 299,232, 412,940.16 and 165,096 is: 227,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232 : 412,940.16 = 165,096 : x
  2. Step 2: Convert to fraction form
    299,232/412,940.16 = 165,096/x
  3. Step 3: Cross multiply
    299,232x = 412,940.16 × 165,096
  4. Step 4: Simplify right side
    299,232x = 68,174,768,655.36
  5. Step 5: Solve for x
    x = 68,174,768,655.36/299,232
  6. Step 6: Final answer
    x = 227,832.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.