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Finding the Fourth Proportional to 300,727.46, 414,997.54 and 164,754.78

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Solution

The fourth proportional to 300,727.46, 414,997.54 and 164,754.78 is: 227,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,727.46 : 414,997.54 = 164,754.78 : x
  2. Step 2: Convert to fraction form
    300,727.46/414,997.54 = 164,754.78/x
  3. Step 3: Cross multiply
    300,727.46x = 414,997.54 × 164,754.78
  4. Step 4: Simplify right side
    300,727.46x = 68,372,827,991.35
  5. Step 5: Solve for x
    x = 68,372,827,991.35/300,727.46
  6. Step 6: Final answer
    x = 227,358.12

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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.