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Finding the Fourth Proportional to 272,022.40, 408,033.60 and 231,781.60

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Solution

The fourth proportional to 272,022.40, 408,033.60 and 231,781.60 is: 347,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,022.40 : 408,033.60 = 231,781.60 : x
  2. Step 2: Convert to fraction form
    272,022.40/408,033.60 = 231,781.60/x
  3. Step 3: Cross multiply
    272,022.40x = 408,033.60 × 231,781.60
  4. Step 4: Simplify right side
    272,022.40x = 94,574,680,661.76
  5. Step 5: Solve for x
    x = 94,574,680,661.76/272,022.40
  6. Step 6: Final answer
    x = 347,672.40

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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.