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Finding the Fourth Proportional to 299,694.57, 413,586.63 and 178,905.96

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Solution

The fourth proportional to 299,694.57, 413,586.63 and 178,905.96 is: 246,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,694.57 : 413,586.63 = 178,905.96 : x
  2. Step 2: Convert to fraction form
    299,694.57/413,586.63 = 178,905.96/x
  3. Step 3: Cross multiply
    299,694.57x = 413,586.63 × 178,905.96
  4. Step 4: Simplify right side
    299,694.57x = 73,993,113,083.31
  5. Step 5: Solve for x
    x = 73,993,113,083.31/299,694.57
  6. Step 6: Final answer
    x = 246,895.07

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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.