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Finding the Fourth Proportional to 271,703.50, 407,629.06 and 193,315.95

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Solution

The fourth proportional to 271,703.50, 407,629.06 and 193,315.95 is: 290,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.50 : 407,629.06 = 193,315.95 : x
  2. Step 2: Convert to fraction form
    271,703.50/407,629.06 = 193,315.95/x
  3. Step 3: Cross multiply
    271,703.50x = 407,629.06 × 193,315.95
  4. Step 4: Simplify right side
    271,703.50x = 78,801,198,498.22
  5. Step 5: Solve for x
    x = 78,801,198,498.22/271,703.50
  6. Step 6: Final answer
    x = 290,026.44

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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.