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Finding the Fourth Proportional to 300,600, 414,841.04 and 166,464

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Solution

The fourth proportional to 300,600, 414,841.04 and 166,464 is: 229,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,600 : 414,841.04 = 166,464 : x
  2. Step 2: Convert to fraction form
    300,600/414,841.04 = 166,464/x
  3. Step 3: Cross multiply
    300,600x = 414,841.04 × 166,464
  4. Step 4: Simplify right side
    300,600x = 69,056,098,882.56
  5. Step 5: Solve for x
    x = 69,056,098,882.56/300,600
  6. Step 6: Final answer
    x = 229,727.54

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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.