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Finding the Fourth Proportional to 533,955.68, 800,912.80 and 196,850.52

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Solution

The fourth proportional to 533,955.68, 800,912.80 and 196,850.52 is: 295,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,955.68 : 800,912.80 = 196,850.52 : x
  2. Step 2: Convert to fraction form
    533,955.68/800,912.80 = 196,850.52/x
  3. Step 3: Cross multiply
    533,955.68x = 800,912.80 × 196,850.52
  4. Step 4: Simplify right side
    533,955.68x = 157,660,101,154.66
  5. Step 5: Solve for x
    x = 157,660,101,154.66/533,955.68
  6. Step 6: Final answer
    x = 295,268.14

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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.