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Finding the Fourth Proportional to 299,168.96, 412,816.10 and 182,940.84

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Solution

The fourth proportional to 299,168.96, 412,816.10 and 182,940.84 is: 252,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,168.96 : 412,816.10 = 182,940.84 : x
  2. Step 2: Convert to fraction form
    299,168.96/412,816.10 = 182,940.84/x
  3. Step 3: Cross multiply
    299,168.96x = 412,816.10 × 182,940.84
  4. Step 4: Simplify right side
    299,168.96x = 75,520,923,184.82
  5. Step 5: Solve for x
    x = 75,520,923,184.82/299,168.96
  6. Step 6: Final answer
    x = 252,435.70

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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.