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Finding the Fourth Proportional to 533,543.68, 800,540.16 and 233,869.60

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Solution

The fourth proportional to 533,543.68, 800,540.16 and 233,869.60 is: 350,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,543.68 : 800,540.16 = 233,869.60 : x
  2. Step 2: Convert to fraction form
    533,543.68/800,540.16 = 233,869.60/x
  3. Step 3: Cross multiply
    533,543.68x = 800,540.16 × 233,869.60
  4. Step 4: Simplify right side
    533,543.68x = 187,222,007,003.14
  5. Step 5: Solve for x
    x = 187,222,007,003.14/533,543.68
  6. Step 6: Final answer
    x = 350,902.87

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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.