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Finding the Fourth Proportional to 809,822.80, 1,214,734.20 and 766,277.20

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Solution

The fourth proportional to 809,822.80, 1,214,734.20 and 766,277.20 is: 1,149,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,822.80 : 1,214,734.20 = 766,277.20 : x
  2. Step 2: Convert to fraction form
    809,822.80/1,214,734.20 = 766,277.20/x
  3. Step 3: Cross multiply
    809,822.80x = 1,214,734.20 × 766,277.20
  4. Step 4: Simplify right side
    809,822.80x = 930,823,121,520.24
  5. Step 5: Solve for x
    x = 930,823,121,520.24/809,822.80
  6. Step 6: Final answer
    x = 1,149,415.80

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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.