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Finding the Fourth Proportional to 470,517.17, 705,378.96 and 204,077.03

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Solution

The fourth proportional to 470,517.17, 705,378.96 and 204,077.03 is: 305,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,517.17 : 705,378.96 = 204,077.03 : x
  2. Step 2: Convert to fraction form
    470,517.17/705,378.96 = 204,077.03/x
  3. Step 3: Cross multiply
    470,517.17x = 705,378.96 × 204,077.03
  4. Step 4: Simplify right side
    470,517.17x = 143,951,643,181.29
  5. Step 5: Solve for x
    x = 143,951,643,181.29/470,517.17
  6. Step 6: Final answer
    x = 305,943.44

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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.