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Finding the Fourth Proportional to 279,611.60, 419,122.02 and 200,683.04

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Solution

The fourth proportional to 279,611.60, 419,122.02 and 200,683.04 is: 300,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,611.60 : 419,122.02 = 200,683.04 : x
  2. Step 2: Convert to fraction form
    279,611.60/419,122.02 = 200,683.04/x
  3. Step 3: Cross multiply
    279,611.60x = 419,122.02 × 200,683.04
  4. Step 4: Simplify right side
    279,611.60x = 84,110,681,104.54
  5. Step 5: Solve for x
    x = 84,110,681,104.54/279,611.60
  6. Step 6: Final answer
    x = 300,812.56

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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.