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Finding the Fourth Proportional to 355,909.73, 491,155.41 and 194,764.83

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Solution

The fourth proportional to 355,909.73, 491,155.41 and 194,764.83 is: 268,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,909.73 : 491,155.41 = 194,764.83 : x
  2. Step 2: Convert to fraction form
    355,909.73/491,155.41 = 194,764.83/x
  3. Step 3: Cross multiply
    355,909.73x = 491,155.41 × 194,764.83
  4. Step 4: Simplify right side
    355,909.73x = 95,659,798,820.77
  5. Step 5: Solve for x
    x = 95,659,798,820.77/355,909.73
  6. Step 6: Final answer
    x = 268,775.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.