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Finding the Fourth Proportional to 416,721, 625,187.34 and 121,233

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Solution

The fourth proportional to 416,721, 625,187.34 and 121,233 is: 181,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,721 : 625,187.34 = 121,233 : x
  2. Step 2: Convert to fraction form
    416,721/625,187.34 = 121,233/x
  3. Step 3: Cross multiply
    416,721x = 625,187.34 × 121,233
  4. Step 4: Simplify right side
    416,721x = 75,793,336,790.22
  5. Step 5: Solve for x
    x = 75,793,336,790.22/416,721
  6. Step 6: Final answer
    x = 181,880.29

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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.