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Finding the Fourth Proportional to 533,764.83, 800,648.64 and 196,659.42

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Solution

The fourth proportional to 533,764.83, 800,648.64 and 196,659.42 is: 294,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,764.83 : 800,648.64 = 196,659.42 : x
  2. Step 2: Convert to fraction form
    533,764.83/800,648.64 = 196,659.42/x
  3. Step 3: Cross multiply
    533,764.83x = 800,648.64 × 196,659.42
  4. Step 4: Simplify right side
    533,764.83x = 157,455,097,166.19
  5. Step 5: Solve for x
    x = 157,455,097,166.19/533,764.83
  6. Step 6: Final answer
    x = 294,989.64

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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.