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Finding the Fourth Proportional to 339,114, 467,999.19 and 188,211

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Solution

The fourth proportional to 339,114, 467,999.19 and 188,211 is: 259,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,114 : 467,999.19 = 188,211 : x
  2. Step 2: Convert to fraction form
    339,114/467,999.19 = 188,211/x
  3. Step 3: Cross multiply
    339,114x = 467,999.19 × 188,211
  4. Step 4: Simplify right side
    339,114x = 88,082,595,549.09
  5. Step 5: Solve for x
    x = 88,082,595,549.09/339,114
  6. Step 6: Final answer
    x = 259,743.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.