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Finding the Fourth Proportional to 353,781.24, 488,193.42 and 200,822.52

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Solution

The fourth proportional to 353,781.24, 488,193.42 and 200,822.52 is: 277,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781.24 : 488,193.42 = 200,822.52 : x
  2. Step 2: Convert to fraction form
    353,781.24/488,193.42 = 200,822.52/x
  3. Step 3: Cross multiply
    353,781.24x = 488,193.42 × 200,822.52
  4. Step 4: Simplify right side
    353,781.24x = 98,040,232,851.82
  5. Step 5: Solve for x
    x = 98,040,232,851.82/353,781.24
  6. Step 6: Final answer
    x = 277,121.06

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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.