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Finding the Fourth Proportional to 809,741.80, 1,213,835.10 and 629,727.40

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Solution

The fourth proportional to 809,741.80, 1,213,835.10 and 629,727.40 is: 943,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,741.80 : 1,213,835.10 = 629,727.40 : x
  2. Step 2: Convert to fraction form
    809,741.80/1,213,835.10 = 629,727.40/x
  3. Step 3: Cross multiply
    809,741.80x = 1,213,835.10 × 629,727.40
  4. Step 4: Simplify right side
    809,741.80x = 764,385,221,551.74
  5. Step 5: Solve for x
    x = 764,385,221,551.74/809,741.80
  6. Step 6: Final answer
    x = 943,986.37

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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.