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Finding the Fourth Proportional to 721,021.50, 994,993.20 and 398,734.38

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Solution

The fourth proportional to 721,021.50, 994,993.20 and 398,734.38 is: 550,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,021.50 : 994,993.20 = 398,734.38 : x
  2. Step 2: Convert to fraction form
    721,021.50/994,993.20 = 398,734.38/x
  3. Step 3: Cross multiply
    721,021.50x = 994,993.20 × 398,734.38
  4. Step 4: Simplify right side
    721,021.50x = 396,737,996,706.22
  5. Step 5: Solve for x
    x = 396,737,996,706.22/721,021.50
  6. Step 6: Final answer
    x = 550,244.34

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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.