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Finding the Fourth Proportional to 300,550.96, 414,760.46 and 164,593.38

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Solution

The fourth proportional to 300,550.96, 414,760.46 and 164,593.38 is: 227,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,550.96 : 414,760.46 = 164,593.38 : x
  2. Step 2: Convert to fraction form
    300,550.96/414,760.46 = 164,593.38/x
  3. Step 3: Cross multiply
    300,550.96x = 414,760.46 × 164,593.38
  4. Step 4: Simplify right side
    300,550.96x = 68,266,826,001.75
  5. Step 5: Solve for x
    x = 68,266,826,001.75/300,550.96
  6. Step 6: Final answer
    x = 227,138.94

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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.