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Finding the Fourth Proportional to 299,316.96, 413,056.56 and 165,180

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Solution

The fourth proportional to 299,316.96, 413,056.56 and 165,180 is: 227,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.96 : 413,056.56 = 165,180 : x
  2. Step 2: Convert to fraction form
    299,316.96/413,056.56 = 165,180/x
  3. Step 3: Cross multiply
    299,316.96x = 413,056.56 × 165,180
  4. Step 4: Simplify right side
    299,316.96x = 68,228,682,580.80
  5. Step 5: Solve for x
    x = 68,228,682,580.80/299,316.96
  6. Step 6: Final answer
    x = 227,947.93

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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.