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Finding the Fourth Proportional to 300,812.44, 415,099.18 and 164,824.80

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Solution

The fourth proportional to 300,812.44, 415,099.18 and 164,824.80 is: 227,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,812.44 : 415,099.18 = 164,824.80 : x
  2. Step 2: Convert to fraction form
    300,812.44/415,099.18 = 164,824.80/x
  3. Step 3: Cross multiply
    300,812.44x = 415,099.18 × 164,824.80
  4. Step 4: Simplify right side
    300,812.44x = 68,418,639,323.66
  5. Step 5: Solve for x
    x = 68,418,639,323.66/300,812.44
  6. Step 6: Final answer
    x = 227,446.18

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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.