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Finding the Fourth Proportional to 270,661.20, 405,646.20 and 208,021.20

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Solution

The fourth proportional to 270,661.20, 405,646.20 and 208,021.20 is: 311,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,661.20 : 405,646.20 = 208,021.20 : x
  2. Step 2: Convert to fraction form
    270,661.20/405,646.20 = 208,021.20/x
  3. Step 3: Cross multiply
    270,661.20x = 405,646.20 × 208,021.20
  4. Step 4: Simplify right side
    270,661.20x = 84,383,009,299.44
  5. Step 5: Solve for x
    x = 84,383,009,299.44/270,661.20
  6. Step 6: Final answer
    x = 311,766.18

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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.