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Finding the Fourth Proportional to 313,983.94, 470,640.39 and 228,389.62

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Solution

The fourth proportional to 313,983.94, 470,640.39 and 228,389.62 is: 342,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,983.94 : 470,640.39 = 228,389.62 : x
  2. Step 2: Convert to fraction form
    313,983.94/470,640.39 = 228,389.62/x
  3. Step 3: Cross multiply
    313,983.94x = 470,640.39 × 228,389.62
  4. Step 4: Simplify right side
    313,983.94x = 107,489,379,828.75
  5. Step 5: Solve for x
    x = 107,489,379,828.75/313,983.94
  6. Step 6: Final answer
    x = 342,340.38

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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.