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Finding the Fourth Proportional to 300,546.55, 414,754.36 and 164,588.96

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Solution

The fourth proportional to 300,546.55, 414,754.36 and 164,588.96 is: 227,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,546.55 : 414,754.36 = 164,588.96 : x
  2. Step 2: Convert to fraction form
    300,546.55/414,754.36 = 164,588.96/x
  3. Step 3: Cross multiply
    300,546.55x = 414,754.36 × 164,588.96
  4. Step 4: Simplify right side
    300,546.55x = 68,263,988,767.87
  5. Step 5: Solve for x
    x = 68,263,988,767.87/300,546.55
  6. Step 6: Final answer
    x = 227,132.83

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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.