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Finding the Fourth Proportional to 533,786.32, 800,729.16 and 196,813.36

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Solution

The fourth proportional to 533,786.32, 800,729.16 and 196,813.36 is: 295,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,786.32 : 800,729.16 = 196,813.36 : x
  2. Step 2: Convert to fraction form
    533,786.32/800,729.16 = 196,813.36/x
  3. Step 3: Cross multiply
    533,786.32x = 800,729.16 × 196,813.36
  4. Step 4: Simplify right side
    533,786.32x = 157,594,196,429.58
  5. Step 5: Solve for x
    x = 157,594,196,429.58/533,786.32
  6. Step 6: Final answer
    x = 295,238.36

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1.5x scale

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.