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Finding the Fourth Proportional to 274,468.40, 411,119.40 and 227,812.40

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Solution

The fourth proportional to 274,468.40, 411,119.40 and 227,812.40 is: 341,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,468.40 : 411,119.40 = 227,812.40 : x
  2. Step 2: Convert to fraction form
    274,468.40/411,119.40 = 227,812.40/x
  3. Step 3: Cross multiply
    274,468.40x = 411,119.40 × 227,812.40
  4. Step 4: Simplify right side
    274,468.40x = 93,658,097,200.56
  5. Step 5: Solve for x
    x = 93,658,097,200.56/274,468.40
  6. Step 6: Final answer
    x = 341,234.54

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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.