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Finding the Fourth Proportional to 324,906.26, 487,359.39 and 214,072.34

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Solution

The fourth proportional to 324,906.26, 487,359.39 and 214,072.34 is: 321,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,906.26 : 487,359.39 = 214,072.34 : x
  2. Step 2: Convert to fraction form
    324,906.26/487,359.39 = 214,072.34/x
  3. Step 3: Cross multiply
    324,906.26x = 487,359.39 × 214,072.34
  4. Step 4: Simplify right side
    324,906.26x = 104,330,165,038.27
  5. Step 5: Solve for x
    x = 104,330,165,038.27/324,906.26
  6. Step 6: Final answer
    x = 321,108.51

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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.