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Finding the Fourth Proportional to 533,807.66, 800,720.75 and 196,674.77

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Solution

The fourth proportional to 533,807.66, 800,720.75 and 196,674.77 is: 295,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,807.66 : 800,720.75 = 196,674.77 : x
  2. Step 2: Convert to fraction form
    533,807.66/800,720.75 = 196,674.77/x
  3. Step 3: Cross multiply
    533,807.66x = 800,720.75 × 196,674.77
  4. Step 4: Simplify right side
    533,807.66x = 157,481,571,833.97
  5. Step 5: Solve for x
    x = 157,481,571,833.97/533,807.66
  6. Step 6: Final answer
    x = 295,015.57

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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.