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Finding the Fourth Proportional to 300,477.20, 414,659.40 and 164,512.40

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Solution

The fourth proportional to 300,477.20, 414,659.40 and 164,512.40 is: 227,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,477.20 : 414,659.40 = 164,512.40 : x
  2. Step 2: Convert to fraction form
    300,477.20/414,659.40 = 164,512.40/x
  3. Step 3: Cross multiply
    300,477.20x = 414,659.40 × 164,512.40
  4. Step 4: Simplify right side
    300,477.20x = 68,216,613,076.56
  5. Step 5: Solve for x
    x = 68,216,613,076.56/300,477.20
  6. Step 6: Final answer
    x = 227,027.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.