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Finding the Fourth Proportional to 408,040.45, 563,109.47 and 226,760.02

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Solution

The fourth proportional to 408,040.45, 563,109.47 and 226,760.02 is: 312,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,040.45 : 563,109.47 = 226,760.02 : x
  2. Step 2: Convert to fraction form
    408,040.45/563,109.47 = 226,760.02/x
  3. Step 3: Cross multiply
    408,040.45x = 563,109.47 × 226,760.02
  4. Step 4: Simplify right side
    408,040.45x = 127,690,714,679.39
  5. Step 5: Solve for x
    x = 127,690,714,679.39/408,040.45
  6. Step 6: Final answer
    x = 312,936.41

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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.