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Finding the Fourth Proportional to 272,406.40, 408,916.80 and 161,660.80

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Solution

The fourth proportional to 272,406.40, 408,916.80 and 161,660.80 is: 242,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,406.40 : 408,916.80 = 161,660.80 : x
  2. Step 2: Convert to fraction form
    272,406.40/408,916.80 = 161,660.80/x
  3. Step 3: Cross multiply
    272,406.40x = 408,916.80 × 161,660.80
  4. Step 4: Simplify right side
    272,406.40x = 66,105,817,021.44
  5. Step 5: Solve for x
    x = 66,105,817,021.44/272,406.40
  6. Step 6: Final answer
    x = 242,673.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.