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Finding the Fourth Proportional to 271,652.83, 407,747.43 and 203,949.39

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Solution

The fourth proportional to 271,652.83, 407,747.43 and 203,949.39 is: 306,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,652.83 : 407,747.43 = 203,949.39 : x
  2. Step 2: Convert to fraction form
    271,652.83/407,747.43 = 203,949.39/x
  3. Step 3: Cross multiply
    271,652.83x = 407,747.43 × 203,949.39
  4. Step 4: Simplify right side
    271,652.83x = 83,159,839,622.57
  5. Step 5: Solve for x
    x = 83,159,839,622.57/271,652.83
  6. Step 6: Final answer
    x = 306,125.43

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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.