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Finding the Fourth Proportional to 271,616.30, 408,038.85 and 188,672.30

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Solution

The fourth proportional to 271,616.30, 408,038.85 and 188,672.30 is: 283,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,616.30 : 408,038.85 = 188,672.30 : x
  2. Step 2: Convert to fraction form
    271,616.30/408,038.85 = 188,672.30/x
  3. Step 3: Cross multiply
    271,616.30x = 408,038.85 × 188,672.30
  4. Step 4: Simplify right side
    271,616.30x = 76,985,628,318.86
  5. Step 5: Solve for x
    x = 76,985,628,318.86/271,616.30
  6. Step 6: Final answer
    x = 283,435.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.