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Finding the Fourth Proportional to 533,568.80, 800,363.62 and 196,435.91

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Solution

The fourth proportional to 533,568.80, 800,363.62 and 196,435.91 is: 294,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,568.80 : 800,363.62 = 196,435.91 : x
  2. Step 2: Convert to fraction form
    533,568.80/800,363.62 = 196,435.91/x
  3. Step 3: Cross multiply
    533,568.80x = 800,363.62 × 196,435.91
  4. Step 4: Simplify right side
    533,568.80x = 157,220,158,272.05
  5. Step 5: Solve for x
    x = 157,220,158,272.05/533,568.80
  6. Step 6: Final answer
    x = 294,657.70

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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.