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Finding the Fourth Proportional to 458,514.57, 687,550.53 and 192,203.58

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Solution

The fourth proportional to 458,514.57, 687,550.53 and 192,203.58 is: 288,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,514.57 : 687,550.53 = 192,203.58 : x
  2. Step 2: Convert to fraction form
    458,514.57/687,550.53 = 192,203.58/x
  3. Step 3: Cross multiply
    458,514.57x = 687,550.53 × 192,203.58
  4. Step 4: Simplify right side
    458,514.57x = 132,149,673,296.90
  5. Step 5: Solve for x
    x = 132,149,673,296.90/458,514.57
  6. Step 6: Final answer
    x = 288,212.59

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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.