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Finding the Fourth Proportional to 271,766.40, 408,038.40 and 193,228.80

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Solution

The fourth proportional to 271,766.40, 408,038.40 and 193,228.80 is: 290,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,766.40 : 408,038.40 = 193,228.80 : x
  2. Step 2: Convert to fraction form
    271,766.40/408,038.40 = 193,228.80/x
  3. Step 3: Cross multiply
    271,766.40x = 408,038.40 × 193,228.80
  4. Step 4: Simplify right side
    271,766.40x = 78,844,770,385.92
  5. Step 5: Solve for x
    x = 78,844,770,385.92/271,766.40
  6. Step 6: Final answer
    x = 290,119.64

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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.