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Finding the Fourth Proportional to 279,989.60, 419,109.60 and 201,257.60

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Solution

The fourth proportional to 279,989.60, 419,109.60 and 201,257.60 is: 301,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,989.60 : 419,109.60 = 201,257.60 : x
  2. Step 2: Convert to fraction form
    279,989.60/419,109.60 = 201,257.60/x
  3. Step 3: Cross multiply
    279,989.60x = 419,109.60 × 201,257.60
  4. Step 4: Simplify right side
    279,989.60x = 84,348,992,232.96
  5. Step 5: Solve for x
    x = 84,348,992,232.96/279,989.60
  6. Step 6: Final answer
    x = 301,257.59

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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.