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Finding the Fourth Proportional to 300,727.96, 414,998.23 and 164,755.28

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Solution

The fourth proportional to 300,727.96, 414,998.23 and 164,755.28 is: 227,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,727.96 : 414,998.23 = 164,755.28 : x
  2. Step 2: Convert to fraction form
    300,727.96/414,998.23 = 164,755.28/x
  3. Step 3: Cross multiply
    300,727.96x = 414,998.23 × 164,755.28
  4. Step 4: Simplify right side
    300,727.96x = 68,373,148,759.38
  5. Step 5: Solve for x
    x = 68,373,148,759.38/300,727.96
  6. Step 6: Final answer
    x = 227,358.81

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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.