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Finding the Fourth Proportional to 414,845.31, 622,760.04 and 349,104.09

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Solution

The fourth proportional to 414,845.31, 622,760.04 and 349,104.09 is: 524,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,845.31 : 622,760.04 = 349,104.09 : x
  2. Step 2: Convert to fraction form
    414,845.31/622,760.04 = 349,104.09/x
  3. Step 3: Cross multiply
    414,845.31x = 622,760.04 × 349,104.09
  4. Step 4: Simplify right side
    414,845.31x = 217,408,077,052.56
  5. Step 5: Solve for x
    x = 217,408,077,052.56/414,845.31
  6. Step 6: Final answer
    x = 524,070.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.