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Finding the Fourth Proportional to 274,014.70, 411,022.05 and 224,807.20

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Solution

The fourth proportional to 274,014.70, 411,022.05 and 224,807.20 is: 337,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,014.70 : 411,022.05 = 224,807.20 : x
  2. Step 2: Convert to fraction form
    274,014.70/411,022.05 = 224,807.20/x
  3. Step 3: Cross multiply
    274,014.70x = 411,022.05 × 224,807.20
  4. Step 4: Simplify right side
    274,014.70x = 92,400,716,198.76
  5. Step 5: Solve for x
    x = 92,400,716,198.76/274,014.70
  6. Step 6: Final answer
    x = 337,210.80

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Why These Related Problems?

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