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Finding the Fourth Proportional to 339,512, 468,569.76 and 205,376.96

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Solution

The fourth proportional to 339,512, 468,569.76 and 205,376.96 is: 283,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,512 : 468,569.76 = 205,376.96 : x
  2. Step 2: Convert to fraction form
    339,512/468,569.76 = 205,376.96/x
  3. Step 3: Cross multiply
    339,512x = 468,569.76 × 205,376.96
  4. Step 4: Simplify right side
    339,512x = 96,233,432,856.73
  5. Step 5: Solve for x
    x = 96,233,432,856.73/339,512
  6. Step 6: Final answer
    x = 283,446.34

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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.