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Finding the Fourth Proportional to 339,051, 467,912.31 and 188,148

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Solution

The fourth proportional to 339,051, 467,912.31 and 188,148 is: 259,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,051 : 467,912.31 = 188,148 : x
  2. Step 2: Convert to fraction form
    339,051/467,912.31 = 188,148/x
  3. Step 3: Cross multiply
    339,051x = 467,912.31 × 188,148
  4. Step 4: Simplify right side
    339,051x = 88,036,765,301.88
  5. Step 5: Solve for x
    x = 88,036,765,301.88/339,051
  6. Step 6: Final answer
    x = 259,656.41

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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.