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Finding the Fourth Proportional to 361,247.76, 498,499.96 and 200,093.40

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Solution

The fourth proportional to 361,247.76, 498,499.96 and 200,093.40 is: 276,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,247.76 : 498,499.96 = 200,093.40 : x
  2. Step 2: Convert to fraction form
    361,247.76/498,499.96 = 200,093.40/x
  3. Step 3: Cross multiply
    361,247.76x = 498,499.96 × 200,093.40
  4. Step 4: Simplify right side
    361,247.76x = 99,746,551,896.26
  5. Step 5: Solve for x
    x = 99,746,551,896.26/361,247.76
  6. Step 6: Final answer
    x = 276,116.73

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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.