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Finding the Fourth Proportional to 271,818.42, 407,724.39 and 191,524.74

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Solution

The fourth proportional to 271,818.42, 407,724.39 and 191,524.74 is: 287,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,818.42 : 407,724.39 = 191,524.74 : x
  2. Step 2: Convert to fraction form
    271,818.42/407,724.39 = 191,524.74/x
  3. Step 3: Cross multiply
    271,818.42x = 407,724.39 × 191,524.74
  4. Step 4: Simplify right side
    271,818.42x = 78,089,307,786.41
  5. Step 5: Solve for x
    x = 78,089,307,786.41/271,818.42
  6. Step 6: Final answer
    x = 287,284.83

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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.