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Finding the Fourth Proportional to 398,713.50, 550,224.63 and 219,865.50

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Solution

The fourth proportional to 398,713.50, 550,224.63 and 219,865.50 is: 303,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,713.50 : 550,224.63 = 219,865.50 : x
  2. Step 2: Convert to fraction form
    398,713.50/550,224.63 = 219,865.50/x
  3. Step 3: Cross multiply
    398,713.50x = 550,224.63 × 219,865.50
  4. Step 4: Simplify right side
    398,713.50x = 120,975,413,387.27
  5. Step 5: Solve for x
    x = 120,975,413,387.27/398,713.50
  6. Step 6: Final answer
    x = 303,414.39

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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.