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Finding the Fourth Proportional to 386,963.32, 533,991.41 and 214,892.19

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Solution

The fourth proportional to 386,963.32, 533,991.41 and 214,892.19 is: 296,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,963.32 : 533,991.41 = 214,892.19 : x
  2. Step 2: Convert to fraction form
    386,963.32/533,991.41 = 214,892.19/x
  3. Step 3: Cross multiply
    386,963.32x = 533,991.41 × 214,892.19
  4. Step 4: Simplify right side
    386,963.32x = 114,750,582,201.11
  5. Step 5: Solve for x
    x = 114,750,582,201.11/386,963.32
  6. Step 6: Final answer
    x = 296,541.24

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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.