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Finding the Fourth Proportional to 355,786.44, 533,151.54 and 197,797.56

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Solution

The fourth proportional to 355,786.44, 533,151.54 and 197,797.56 is: 296,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,786.44 : 533,151.54 = 197,797.56 : x
  2. Step 2: Convert to fraction form
    355,786.44/533,151.54 = 197,797.56/x
  3. Step 3: Cross multiply
    355,786.44x = 533,151.54 × 197,797.56
  4. Step 4: Simplify right side
    355,786.44x = 105,456,073,722.24
  5. Step 5: Solve for x
    x = 105,456,073,722.24/355,786.44
  6. Step 6: Final answer
    x = 296,402.73

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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.