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Finding the Fourth Proportional to 408,242.37, 563,393.70 and 226,957.33

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Solution

The fourth proportional to 408,242.37, 563,393.70 and 226,957.33 is: 313,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,242.37 : 563,393.70 = 226,957.33 : x
  2. Step 2: Convert to fraction form
    408,242.37/563,393.70 = 226,957.33/x
  3. Step 3: Cross multiply
    408,242.37x = 563,393.70 × 226,957.33
  4. Step 4: Simplify right side
    408,242.37x = 127,866,325,939.07
  5. Step 5: Solve for x
    x = 127,866,325,939.07/408,242.37
  6. Step 6: Final answer
    x = 313,211.80

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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.