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Finding the Fourth Proportional to 533,749.41, 800,498.34 and 196,606.98

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Solution

The fourth proportional to 533,749.41, 800,498.34 and 196,606.98 is: 294,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,749.41 : 800,498.34 = 196,606.98 : x
  2. Step 2: Convert to fraction form
    533,749.41/800,498.34 = 196,606.98/x
  3. Step 3: Cross multiply
    533,749.41x = 800,498.34 × 196,606.98
  4. Step 4: Simplify right side
    533,749.41x = 157,383,561,122.41
  5. Step 5: Solve for x
    x = 157,383,561,122.41/533,749.41
  6. Step 6: Final answer
    x = 294,864.14

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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.