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Finding the Fourth Proportional to 361,485.86, 498,850.47 and 200,365.11

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Solution

The fourth proportional to 361,485.86, 498,850.47 and 200,365.11 is: 276,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,485.86 : 498,850.47 = 200,365.11 : x
  2. Step 2: Convert to fraction form
    361,485.86/498,850.47 = 200,365.11/x
  3. Step 3: Cross multiply
    361,485.86x = 498,850.47 × 200,365.11
  4. Step 4: Simplify right side
    361,485.86x = 99,952,229,295.10
  5. Step 5: Solve for x
    x = 99,952,229,295.10/361,485.86
  6. Step 6: Final answer
    x = 276,503.85

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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.