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Finding the Fourth Proportional to 533,765.33, 800,649.39 and 196,659.92

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Solution

The fourth proportional to 533,765.33, 800,649.39 and 196,659.92 is: 294,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,765.33 : 800,649.39 = 196,659.92 : x
  2. Step 2: Convert to fraction form
    533,765.33/800,649.39 = 196,659.92/x
  3. Step 3: Cross multiply
    533,765.33x = 800,649.39 × 196,659.92
  4. Step 4: Simplify right side
    533,765.33x = 157,455,644,985.45
  5. Step 5: Solve for x
    x = 157,455,644,985.45/533,765.33
  6. Step 6: Final answer
    x = 294,990.39

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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.