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Finding the Fourth Proportional to 408,559.22, 563,816.03 and 224,800.17

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Solution

The fourth proportional to 408,559.22, 563,816.03 and 224,800.17 is: 310,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,559.22 : 563,816.03 = 224,800.17 : x
  2. Step 2: Convert to fraction form
    408,559.22/563,816.03 = 224,800.17/x
  3. Step 3: Cross multiply
    408,559.22x = 563,816.03 × 224,800.17
  4. Step 4: Simplify right side
    408,559.22x = 126,745,939,392.73
  5. Step 5: Solve for x
    x = 126,745,939,392.73/408,559.22
  6. Step 6: Final answer
    x = 310,226.60

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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.