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Finding the Fourth Proportional to 361,246.26, 498,497.90 and 200,091.90

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Solution

The fourth proportional to 361,246.26, 498,497.90 and 200,091.90 is: 276,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,246.26 : 498,497.90 = 200,091.90 : x
  2. Step 2: Convert to fraction form
    361,246.26/498,497.90 = 200,091.90/x
  3. Step 3: Cross multiply
    361,246.26x = 498,497.90 × 200,091.90
  4. Step 4: Simplify right side
    361,246.26x = 99,745,391,957.01
  5. Step 5: Solve for x
    x = 99,745,391,957.01/361,246.26
  6. Step 6: Final answer
    x = 276,114.67

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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.