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Finding the Fourth Proportional to 299,086.52, 412,728 and 164,950.52

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Solution

The fourth proportional to 299,086.52, 412,728 and 164,950.52 is: 227,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.52 : 412,728 = 164,950.52 : x
  2. Step 2: Convert to fraction form
    299,086.52/412,728 = 164,950.52/x
  3. Step 3: Cross multiply
    299,086.52x = 412,728 × 164,950.52
  4. Step 4: Simplify right side
    299,086.52x = 68,079,698,218.56
  5. Step 5: Solve for x
    x = 68,079,698,218.56/299,086.52
  6. Step 6: Final answer
    x = 227,625.43

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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.