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Finding the Fourth Proportional to 408,257.22, 563,363.04 and 226,958.12

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Solution

The fourth proportional to 408,257.22, 563,363.04 and 226,958.12 is: 313,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,257.22 : 563,363.04 = 226,958.12 : x
  2. Step 2: Convert to fraction form
    408,257.22/563,363.04 = 226,958.12/x
  3. Step 3: Cross multiply
    408,257.22x = 563,363.04 × 226,958.12
  4. Step 4: Simplify right side
    408,257.22x = 127,859,816,582.77
  5. Step 5: Solve for x
    x = 127,859,816,582.77/408,257.22
  6. Step 6: Final answer
    x = 313,184.46

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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.