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Finding the Fourth Proportional to 470,516.69, 705,378.24 and 204,076.50

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Solution

The fourth proportional to 470,516.69, 705,378.24 and 204,076.50 is: 305,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,516.69 : 705,378.24 = 204,076.50 : x
  2. Step 2: Convert to fraction form
    470,516.69/705,378.24 = 204,076.50/x
  3. Step 3: Cross multiply
    470,516.69x = 705,378.24 × 204,076.50
  4. Step 4: Simplify right side
    470,516.69x = 143,951,122,395.36
  5. Step 5: Solve for x
    x = 143,951,122,395.36/470,516.69
  6. Step 6: Final answer
    x = 305,942.65

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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.