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Finding the Fourth Proportional to 384,056.31, 529,997.38 and 214,290.44

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Solution

The fourth proportional to 384,056.31, 529,997.38 and 214,290.44 is: 295,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,056.31 : 529,997.38 = 214,290.44 : x
  2. Step 2: Convert to fraction form
    384,056.31/529,997.38 = 214,290.44/x
  3. Step 3: Cross multiply
    384,056.31x = 529,997.38 × 214,290.44
  4. Step 4: Simplify right side
    384,056.31x = 113,573,371,759.05
  5. Step 5: Solve for x
    x = 113,573,371,759.05/384,056.31
  6. Step 6: Final answer
    x = 295,720.62

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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.