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Finding the Fourth Proportional to 398,932.50, 550,524.23 and 226,850.48

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Solution

The fourth proportional to 398,932.50, 550,524.23 and 226,850.48 is: 313,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,932.50 : 550,524.23 = 226,850.48 : x
  2. Step 2: Convert to fraction form
    398,932.50/550,524.23 = 226,850.48/x
  3. Step 3: Cross multiply
    398,932.50x = 550,524.23 × 226,850.48
  4. Step 4: Simplify right side
    398,932.50x = 124,886,685,827.13
  5. Step 5: Solve for x
    x = 124,886,685,827.13/398,932.50
  6. Step 6: Final answer
    x = 313,052.17

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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.