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Finding the Fourth Proportional to 353,805.03, 488,186.19 and 200,849.49

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Solution

The fourth proportional to 353,805.03, 488,186.19 and 200,849.49 is: 277,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,805.03 : 488,186.19 = 200,849.49 : x
  2. Step 2: Convert to fraction form
    353,805.03/488,186.19 = 200,849.49/x
  3. Step 3: Cross multiply
    353,805.03x = 488,186.19 × 200,849.49
  4. Step 4: Simplify right side
    353,805.03x = 98,051,947,286.54
  5. Step 5: Solve for x
    x = 98,051,947,286.54/353,805.03
  6. Step 6: Final answer
    x = 277,135.54

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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.