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Finding the Fourth Proportional to 279,600, 419,403.24 and 69,239.76

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Solution

The fourth proportional to 279,600, 419,403.24 and 69,239.76 is: 103,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,600 : 419,403.24 = 69,239.76 : x
  2. Step 2: Convert to fraction form
    279,600/419,403.24 = 69,239.76/x
  3. Step 3: Cross multiply
    279,600x = 419,403.24 × 69,239.76
  4. Step 4: Simplify right side
    279,600x = 29,039,379,680.82
  5. Step 5: Solve for x
    x = 29,039,379,680.82/279,600
  6. Step 6: Final answer
    x = 103,860.44

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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.