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Finding the Fourth Proportional to 300,287.55, 414,379.09 and 164,294.43

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Solution

The fourth proportional to 300,287.55, 414,379.09 and 164,294.43 is: 226,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,287.55 : 414,379.09 = 164,294.43 : x
  2. Step 2: Convert to fraction form
    300,287.55/414,379.09 = 164,294.43/x
  3. Step 3: Cross multiply
    300,287.55x = 414,379.09 × 164,294.43
  4. Step 4: Simplify right side
    300,287.55x = 68,080,175,046.92
  5. Step 5: Solve for x
    x = 68,080,175,046.92/300,287.55
  6. Step 6: Final answer
    x = 226,716.61

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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.