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Finding the Fourth Proportional to 470,516.62, 705,378.16 and 204,076.44

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Solution

The fourth proportional to 470,516.62, 705,378.16 and 204,076.44 is: 305,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,516.62 : 705,378.16 = 204,076.44 : x
  2. Step 2: Convert to fraction form
    470,516.62/705,378.16 = 204,076.44/x
  3. Step 3: Cross multiply
    470,516.62x = 705,378.16 × 204,076.44
  4. Step 4: Simplify right side
    470,516.62x = 143,951,063,746.55
  5. Step 5: Solve for x
    x = 143,951,063,746.55/470,516.62
  6. Step 6: Final answer
    x = 305,942.57

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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.