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Finding the Fourth Proportional to 361,447.67, 498,791.70 and 200,302.39

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Solution

The fourth proportional to 361,447.67, 498,791.70 and 200,302.39 is: 276,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,447.67 : 498,791.70 = 200,302.39 : x
  2. Step 2: Convert to fraction form
    361,447.67/498,791.70 = 200,302.39/x
  3. Step 3: Cross multiply
    361,447.67x = 498,791.70 × 200,302.39
  4. Step 4: Simplify right side
    361,447.67x = 99,909,168,620.65
  5. Step 5: Solve for x
    x = 99,909,168,620.65/361,447.67
  6. Step 6: Final answer
    x = 276,413.92

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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.