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Finding the Fourth Proportional to 300,769.94, 415,062.28 and 164,812.34

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Solution

The fourth proportional to 300,769.94, 415,062.28 and 164,812.34 is: 227,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,769.94 : 415,062.28 = 164,812.34 : x
  2. Step 2: Convert to fraction form
    300,769.94/415,062.28 = 164,812.34/x
  3. Step 3: Cross multiply
    300,769.94x = 415,062.28 × 164,812.34
  4. Step 4: Simplify right side
    300,769.94x = 68,407,385,612.54
  5. Step 5: Solve for x
    x = 68,407,385,612.54/300,769.94
  6. Step 6: Final answer
    x = 227,440.90

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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.