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Finding the Fourth Proportional to 543,285.90, 814,892.40 and 143,918.10

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Solution

The fourth proportional to 543,285.90, 814,892.40 and 143,918.10 is: 215,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,285.90 : 814,892.40 = 143,918.10 : x
  2. Step 2: Convert to fraction form
    543,285.90/814,892.40 = 143,918.10/x
  3. Step 3: Cross multiply
    543,285.90x = 814,892.40 × 143,918.10
  4. Step 4: Simplify right side
    543,285.90x = 117,277,765,912.44
  5. Step 5: Solve for x
    x = 117,277,765,912.44/543,285.90
  6. Step 6: Final answer
    x = 215,867.49

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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.