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Finding the Fourth Proportional to 339,614.18, 509,513.14 and 114,974.64

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Solution

The fourth proportional to 339,614.18, 509,513.14 and 114,974.64 is: 172,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,614.18 : 509,513.14 = 114,974.64 : x
  2. Step 2: Convert to fraction form
    339,614.18/509,513.14 = 114,974.64/x
  3. Step 3: Cross multiply
    339,614.18x = 509,513.14 × 114,974.64
  4. Step 4: Simplify right side
    339,614.18x = 58,581,087,299.20
  5. Step 5: Solve for x
    x = 58,581,087,299.20/339,614.18
  6. Step 6: Final answer
    x = 172,493.06

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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.