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Finding the Fourth Proportional to 256,996.28, 354,490.32 and 206,131.08

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Solution

The fourth proportional to 256,996.28, 354,490.32 and 206,131.08 is: 284,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,996.28 : 354,490.32 = 206,131.08 : x
  2. Step 2: Convert to fraction form
    256,996.28/354,490.32 = 206,131.08/x
  3. Step 3: Cross multiply
    256,996.28x = 354,490.32 × 206,131.08
  4. Step 4: Simplify right side
    256,996.28x = 73,071,472,511.15
  5. Step 5: Solve for x
    x = 73,071,472,511.15/256,996.28
  6. Step 6: Final answer
    x = 284,328.91

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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.