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Finding the Fourth Proportional to 339,832, 468,968.72 and 188,929

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Solution

The fourth proportional to 339,832, 468,968.72 and 188,929 is: 260,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,832 : 468,968.72 = 188,929 : x
  2. Step 2: Convert to fraction form
    339,832/468,968.72 = 188,929/x
  3. Step 3: Cross multiply
    339,832x = 468,968.72 × 188,929
  4. Step 4: Simplify right side
    339,832x = 88,601,791,300.88
  5. Step 5: Solve for x
    x = 88,601,791,300.88/339,832
  6. Step 6: Final answer
    x = 260,722.33

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