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Finding the Fourth Proportional to 643,822.80, 965,734.20 and 475,861.20

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Solution

The fourth proportional to 643,822.80, 965,734.20 and 475,861.20 is: 713,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,822.80 : 965,734.20 = 475,861.20 : x
  2. Step 2: Convert to fraction form
    643,822.80/965,734.20 = 475,861.20/x
  3. Step 3: Cross multiply
    643,822.80x = 965,734.20 × 475,861.20
  4. Step 4: Simplify right side
    643,822.80x = 459,555,435,293.04
  5. Step 5: Solve for x
    x = 459,555,435,293.04/643,822.80
  6. Step 6: Final answer
    x = 713,791.80

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