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Finding the Fourth Proportional to 408,662.97, 563,940.65 and 224,884.37

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Solution

The fourth proportional to 408,662.97, 563,940.65 and 224,884.37 is: 310,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,662.97 : 563,940.65 = 224,884.37 : x
  2. Step 2: Convert to fraction form
    408,662.97/563,940.65 = 224,884.37/x
  3. Step 3: Cross multiply
    408,662.97x = 563,940.65 × 224,884.37
  4. Step 4: Simplify right side
    408,662.97x = 126,821,433,848.52
  5. Step 5: Solve for x
    x = 126,821,433,848.52/408,662.97
  6. Step 6: Final answer
    x = 310,332.58

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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.