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Finding the Fourth Proportional to 339,605.64, 509,379.17 and 114,961.23

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Solution

The fourth proportional to 339,605.64, 509,379.17 and 114,961.23 is: 172,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,605.64 : 509,379.17 = 114,961.23 : x
  2. Step 2: Convert to fraction form
    339,605.64/509,379.17 = 114,961.23/x
  3. Step 3: Cross multiply
    339,605.64x = 509,379.17 × 114,961.23
  4. Step 4: Simplify right side
    339,605.64x = 58,558,855,344.77
  5. Step 5: Solve for x
    x = 58,558,855,344.77/339,605.64
  6. Step 6: Final answer
    x = 172,431.93

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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.