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Finding the Fourth Proportional to 354,049.25, 531,073.36 and 164,405.91

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Solution

The fourth proportional to 354,049.25, 531,073.36 and 164,405.91 is: 246,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,049.25 : 531,073.36 = 164,405.91 : x
  2. Step 2: Convert to fraction form
    354,049.25/531,073.36 = 164,405.91/x
  3. Step 3: Cross multiply
    354,049.25x = 531,073.36 × 164,405.91
  4. Step 4: Simplify right side
    354,049.25x = 87,311,599,027.56
  5. Step 5: Solve for x
    x = 87,311,599,027.56/354,049.25
  6. Step 6: Final answer
    x = 246,608.63

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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.