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Finding the Fourth Proportional to 809,212.80, 1,214,817.60 and 509,692.80

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Solution

The fourth proportional to 809,212.80, 1,214,817.60 and 509,692.80 is: 765,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,212.80 : 1,214,817.60 = 509,692.80 : x
  2. Step 2: Convert to fraction form
    809,212.80/1,214,817.60 = 509,692.80/x
  3. Step 3: Cross multiply
    809,212.80x = 1,214,817.60 × 509,692.80
  4. Step 4: Simplify right side
    809,212.80x = 619,183,784,033.28
  5. Step 5: Solve for x
    x = 619,183,784,033.28/809,212.80
  6. Step 6: Final answer
    x = 765,168.05

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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.