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Finding the Fourth Proportional to 274,015.20, 411,022.80 and 211,807.20

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Solution

The fourth proportional to 274,015.20, 411,022.80 and 211,807.20 is: 317,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,015.20 : 411,022.80 = 211,807.20 : x
  2. Step 2: Convert to fraction form
    274,015.20/411,022.80 = 211,807.20/x
  3. Step 3: Cross multiply
    274,015.20x = 411,022.80 × 211,807.20
  4. Step 4: Simplify right side
    274,015.20x = 87,057,588,404.16
  5. Step 5: Solve for x
    x = 87,057,588,404.16/274,015.20
  6. Step 6: Final answer
    x = 317,710.80

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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.