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Finding the Fourth Proportional to 451,882.80, 677,629.80 and 227,156.40

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Solution

The fourth proportional to 451,882.80, 677,629.80 and 227,156.40 is: 340,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,882.80 : 677,629.80 = 227,156.40 : x
  2. Step 2: Convert to fraction form
    451,882.80/677,629.80 = 227,156.40/x
  3. Step 3: Cross multiply
    451,882.80x = 677,629.80 × 227,156.40
  4. Step 4: Simplify right side
    451,882.80x = 153,927,945,900.72
  5. Step 5: Solve for x
    x = 153,927,945,900.72/451,882.80
  6. Step 6: Final answer
    x = 340,636.88

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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.