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Finding the Fourth Proportional to 633,268.14, 949,960.61 and 206,806.20

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Solution

The fourth proportional to 633,268.14, 949,960.61 and 206,806.20 is: 310,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,268.14 : 949,960.61 = 206,806.20 : x
  2. Step 2: Convert to fraction form
    633,268.14/949,960.61 = 206,806.20/x
  3. Step 3: Cross multiply
    633,268.14x = 949,960.61 × 206,806.20
  4. Step 4: Simplify right side
    633,268.14x = 196,457,740,082.92
  5. Step 5: Solve for x
    x = 196,457,740,082.92/633,268.14
  6. Step 6: Final answer
    x = 310,228.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.