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Finding the Fourth Proportional to 447,105.98, 670,659.17 and 110,153.20

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Solution

The fourth proportional to 447,105.98, 670,659.17 and 110,153.20 is: 165,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,105.98 : 670,659.17 = 110,153.20 : x
  2. Step 2: Convert to fraction form
    447,105.98/670,659.17 = 110,153.20/x
  3. Step 3: Cross multiply
    447,105.98x = 670,659.17 × 110,153.20
  4. Step 4: Simplify right side
    447,105.98x = 73,875,253,684.84
  5. Step 5: Solve for x
    x = 73,875,253,684.84/447,105.98
  6. Step 6: Final answer
    x = 165,229.85

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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.