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Finding the Fourth Proportional to 271,427.70, 407,141.55 and 187,446.90

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Solution

The fourth proportional to 271,427.70, 407,141.55 and 187,446.90 is: 281,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,427.70 : 407,141.55 = 187,446.90 : x
  2. Step 2: Convert to fraction form
    271,427.70/407,141.55 = 187,446.90/x
  3. Step 3: Cross multiply
    271,427.70x = 407,141.55 × 187,446.90
  4. Step 4: Simplify right side
    271,427.70x = 76,317,421,408.70
  5. Step 5: Solve for x
    x = 76,317,421,408.70/271,427.70
  6. Step 6: Final answer
    x = 281,170.35

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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.