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Finding the Fourth Proportional to 444,938.58, 667,402.26 and 107,982

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Solution

The fourth proportional to 444,938.58, 667,402.26 and 107,982 is: 161,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,938.58 : 667,402.26 = 107,982 : x
  2. Step 2: Convert to fraction form
    444,938.58/667,402.26 = 107,982/x
  3. Step 3: Cross multiply
    444,938.58x = 667,402.26 × 107,982
  4. Step 4: Simplify right side
    444,938.58x = 72,067,430,839.32
  5. Step 5: Solve for x
    x = 72,067,430,839.32/444,938.58
  6. Step 6: Final answer
    x = 161,971.64

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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.