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Finding the Fourth Proportional to 299,809.49, 413,742.20 and 178,927.29

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Solution

The fourth proportional to 299,809.49, 413,742.20 and 178,927.29 is: 246,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,809.49 : 413,742.20 = 178,927.29 : x
  2. Step 2: Convert to fraction form
    299,809.49/413,742.20 = 178,927.29/x
  3. Step 3: Cross multiply
    299,809.49x = 413,742.20 × 178,927.29
  4. Step 4: Simplify right side
    299,809.49x = 74,029,769,710.00
  5. Step 5: Solve for x
    x = 74,029,769,710.00/299,809.49
  6. Step 6: Final answer
    x = 246,922.71

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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.