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Finding the Fourth Proportional to 271,416.02, 407,124.06 and 185,942.59

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Solution

The fourth proportional to 271,416.02, 407,124.06 and 185,942.59 is: 278,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416.02 : 407,124.06 = 185,942.59 : x
  2. Step 2: Convert to fraction form
    271,416.02/407,124.06 = 185,942.59/x
  3. Step 3: Cross multiply
    271,416.02x = 407,124.06 × 185,942.59
  4. Step 4: Simplify right side
    271,416.02x = 75,701,700,452.62
  5. Step 5: Solve for x
    x = 75,701,700,452.62/271,416.02
  6. Step 6: Final answer
    x = 278,913.90

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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.