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Finding the Fourth Proportional to 533,735.46, 800,477.44 and 196,593.01

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Solution

The fourth proportional to 533,735.46, 800,477.44 and 196,593.01 is: 294,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,735.46 : 800,477.44 = 196,593.01 : x
  2. Step 2: Convert to fraction form
    533,735.46/800,477.44 = 196,593.01/x
  3. Step 3: Cross multiply
    533,735.46x = 800,477.44 × 196,593.01
  4. Step 4: Simplify right side
    533,735.46x = 157,368,269,366.69
  5. Step 5: Solve for x
    x = 157,368,269,366.69/533,735.46
  6. Step 6: Final answer
    x = 294,843.20

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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.