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Finding the Fourth Proportional to 643,564.80, 965,692.80 and 269,625.60

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Solution

The fourth proportional to 643,564.80, 965,692.80 and 269,625.60 is: 404,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,564.80 : 965,692.80 = 269,625.60 : x
  2. Step 2: Convert to fraction form
    643,564.80/965,692.80 = 269,625.60/x
  3. Step 3: Cross multiply
    643,564.80x = 965,692.80 × 269,625.60
  4. Step 4: Simplify right side
    643,564.80x = 260,375,500,615.68
  5. Step 5: Solve for x
    x = 260,375,500,615.68/643,564.80
  6. Step 6: Final answer
    x = 404,583.19

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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.