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Finding the Fourth Proportional to 274,301.10, 411,451.65 and 227,645.10

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Solution

The fourth proportional to 274,301.10, 411,451.65 and 227,645.10 is: 341,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,301.10 : 411,451.65 = 227,645.10 : x
  2. Step 2: Convert to fraction form
    274,301.10/411,451.65 = 227,645.10/x
  3. Step 3: Cross multiply
    274,301.10x = 411,451.65 × 227,645.10
  4. Step 4: Simplify right side
    274,301.10x = 93,664,952,009.42
  5. Step 5: Solve for x
    x = 93,664,952,009.42/274,301.10
  6. Step 6: Final answer
    x = 341,467.65

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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.