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Finding the Fourth Proportional to 539,983.20, 809,456.40 and 419,973.60

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Solution

The fourth proportional to 539,983.20, 809,456.40 and 419,973.60 is: 629,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,983.20 : 809,456.40 = 419,973.60 : x
  2. Step 2: Convert to fraction form
    539,983.20/809,456.40 = 419,973.60/x
  3. Step 3: Cross multiply
    539,983.20x = 809,456.40 × 419,973.60
  4. Step 4: Simplify right side
    539,983.20x = 339,950,318,351.04
  5. Step 5: Solve for x
    x = 339,950,318,351.04/539,983.20
  6. Step 6: Final answer
    x = 629,557.21

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1.5x scale

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.