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Finding the Fourth Proportional to 300,954.68, 415,314.81 and 164,986.16

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Solution

The fourth proportional to 300,954.68, 415,314.81 and 164,986.16 is: 227,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,954.68 : 415,314.81 = 164,986.16 : x
  2. Step 2: Convert to fraction form
    300,954.68/415,314.81 = 164,986.16/x
  3. Step 3: Cross multiply
    300,954.68x = 415,314.81 × 164,986.16
  4. Step 4: Simplify right side
    300,954.68x = 68,521,192,791.52
  5. Step 5: Solve for x
    x = 68,521,192,791.52/300,954.68
  6. Step 6: Final answer
    x = 227,679.44

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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.