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Finding the Fourth Proportional to 299,829.32, 413,769.48 and 178,947.08

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Solution

The fourth proportional to 299,829.32, 413,769.48 and 178,947.08 is: 246,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,829.32 : 413,769.48 = 178,947.08 : x
  2. Step 2: Convert to fraction form
    299,829.32/413,769.48 = 178,947.08/x
  3. Step 3: Cross multiply
    299,829.32x = 413,769.48 × 178,947.08
  4. Step 4: Simplify right side
    299,829.32x = 74,042,840,239.12
  5. Step 5: Solve for x
    x = 74,042,840,239.12/299,829.32
  6. Step 6: Final answer
    x = 246,949.97

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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.