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Finding the Fourth Proportional to 274,014.20, 411,021.30 and 224,806.70

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Solution

The fourth proportional to 274,014.20, 411,021.30 and 224,806.70 is: 337,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,014.20 : 411,021.30 = 224,806.70 : x
  2. Step 2: Convert to fraction form
    274,014.20/411,021.30 = 224,806.70/x
  3. Step 3: Cross multiply
    274,014.20x = 411,021.30 × 224,806.70
  4. Step 4: Simplify right side
    274,014.20x = 92,400,342,082.71
  5. Step 5: Solve for x
    x = 92,400,342,082.71/274,014.20
  6. Step 6: Final answer
    x = 337,210.05

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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.