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Finding the Fourth Proportional to 300,654.05, 414,902.25 and 164,696.36

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Solution

The fourth proportional to 300,654.05, 414,902.25 and 164,696.36 is: 227,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,654.05 : 414,902.25 = 164,696.36 : x
  2. Step 2: Convert to fraction form
    300,654.05/414,902.25 = 164,696.36/x
  3. Step 3: Cross multiply
    300,654.05x = 414,902.25 × 164,696.36
  4. Step 4: Simplify right side
    300,654.05x = 68,332,888,256.30
  5. Step 5: Solve for x
    x = 68,332,888,256.30/300,654.05
  6. Step 6: Final answer
    x = 227,280.79

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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.