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Finding the Fourth Proportional to 271,428.57, 406,952.10 and 119,553.57

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Solution

The fourth proportional to 271,428.57, 406,952.10 and 119,553.57 is: 179,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,428.57 : 406,952.10 = 119,553.57 : x
  2. Step 2: Convert to fraction form
    271,428.57/406,952.10 = 119,553.57/x
  3. Step 3: Cross multiply
    271,428.57x = 406,952.10 × 119,553.57
  4. Step 4: Simplify right side
    271,428.57x = 48,652,576,374.00
  5. Step 5: Solve for x
    x = 48,652,576,374.00/271,428.57
  6. Step 6: Final answer
    x = 179,246.33

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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.