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Finding the Fourth Proportional to 539,754.70, 809,113.65 and 419,745.10

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Solution

The fourth proportional to 539,754.70, 809,113.65 and 419,745.10 is: 629,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,754.70 : 809,113.65 = 419,745.10 : x
  2. Step 2: Convert to fraction form
    539,754.70/809,113.65 = 419,745.10/x
  3. Step 3: Cross multiply
    539,754.70x = 809,113.65 × 419,745.10
  4. Step 4: Simplify right side
    539,754.70x = 339,621,489,930.62
  5. Step 5: Solve for x
    x = 339,621,489,930.62/539,754.70
  6. Step 6: Final answer
    x = 629,214.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.