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Finding the Fourth Proportional to 384,906.90, 577,195.22 and 132,212.82

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Solution

The fourth proportional to 384,906.90, 577,195.22 and 132,212.82 is: 198,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,906.90 : 577,195.22 = 132,212.82 : x
  2. Step 2: Convert to fraction form
    384,906.90/577,195.22 = 132,212.82/x
  3. Step 3: Cross multiply
    384,906.90x = 577,195.22 × 132,212.82
  4. Step 4: Simplify right side
    384,906.90x = 76,312,607,065.66
  5. Step 5: Solve for x
    x = 76,312,607,065.66/384,906.90
  6. Step 6: Final answer
    x = 198,262.51

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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.