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Finding the Fourth Proportional to 543,286.40, 814,893.15 and 143,918.60

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Solution

The fourth proportional to 543,286.40, 814,893.15 and 143,918.60 is: 215,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,286.40 : 814,893.15 = 143,918.60 : x
  2. Step 2: Convert to fraction form
    543,286.40/814,893.15 = 143,918.60/x
  3. Step 3: Cross multiply
    543,286.40x = 814,893.15 × 143,918.60
  4. Step 4: Simplify right side
    543,286.40x = 117,278,281,297.59
  5. Step 5: Solve for x
    x = 117,278,281,297.59/543,286.40
  6. Step 6: Final answer
    x = 215,868.24

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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.