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Finding the Fourth Proportional to 312,834.50, 431,709.04 and 169,590.86

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Solution

The fourth proportional to 312,834.50, 431,709.04 and 169,590.86 is: 234,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,834.50 : 431,709.04 = 169,590.86 : x
  2. Step 2: Convert to fraction form
    312,834.50/431,709.04 = 169,590.86/x
  3. Step 3: Cross multiply
    312,834.50x = 431,709.04 × 169,590.86
  4. Step 4: Simplify right side
    312,834.50x = 73,213,907,363.37
  5. Step 5: Solve for x
    x = 73,213,907,363.37/312,834.50
  6. Step 6: Final answer
    x = 234,033.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.