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Finding the Fourth Proportional to 775,344, 1,163,016 and 206,727.04

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Solution

The fourth proportional to 775,344, 1,163,016 and 206,727.04 is: 310,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,344 : 1,163,016 = 206,727.04 : x
  2. Step 2: Convert to fraction form
    775,344/1,163,016 = 206,727.04/x
  3. Step 3: Cross multiply
    775,344x = 1,163,016 × 206,727.04
  4. Step 4: Simplify right side
    775,344x = 240,426,855,152.64
  5. Step 5: Solve for x
    x = 240,426,855,152.64/775,344
  6. Step 6: Final answer
    x = 310,090.56

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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.