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Finding the Fourth Proportional to 299,232, 412,945.92 and 165,093.12

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Solution

The fourth proportional to 299,232, 412,945.92 and 165,093.12 is: 227,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232 : 412,945.92 = 165,093.12 : x
  2. Step 2: Convert to fraction form
    299,232/412,945.92 = 165,093.12/x
  3. Step 3: Cross multiply
    299,232x = 412,945.92 × 165,093.12
  4. Step 4: Simplify right side
    299,232x = 68,174,530,324.07
  5. Step 5: Solve for x
    x = 68,174,530,324.07/299,232
  6. Step 6: Final answer
    x = 227,831.68

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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.