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Finding the Fourth Proportional to 408,266.91, 563,439.75 and 226,993.77

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Solution

The fourth proportional to 408,266.91, 563,439.75 and 226,993.77 is: 313,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,266.91 : 563,439.75 = 226,993.77 : x
  2. Step 2: Convert to fraction form
    408,266.91/563,439.75 = 226,993.77/x
  3. Step 3: Cross multiply
    408,266.91x = 563,439.75 × 226,993.77
  4. Step 4: Simplify right side
    408,266.91x = 127,897,313,020.36
  5. Step 5: Solve for x
    x = 127,897,313,020.36/408,266.91
  6. Step 6: Final answer
    x = 313,268.87

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1.5x scale

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.