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Finding the Fourth Proportional to 298,196.99, 411,512.82 and 162,230.90

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Solution

The fourth proportional to 298,196.99, 411,512.82 and 162,230.90 is: 223,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,196.99 : 411,512.82 = 162,230.90 : x
  2. Step 2: Convert to fraction form
    298,196.99/411,512.82 = 162,230.90/x
  3. Step 3: Cross multiply
    298,196.99x = 411,512.82 × 162,230.90
  4. Step 4: Simplify right side
    298,196.99x = 66,760,093,092.57
  5. Step 5: Solve for x
    x = 66,760,093,092.57/298,196.99
  6. Step 6: Final answer
    x = 223,879.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.