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Finding the Fourth Proportional to 284,834.26, 426,874.13 and 151,427.26

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Solution

The fourth proportional to 284,834.26, 426,874.13 and 151,427.26 is: 226,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,834.26 : 426,874.13 = 151,427.26 : x
  2. Step 2: Convert to fraction form
    284,834.26/426,874.13 = 151,427.26/x
  3. Step 3: Cross multiply
    284,834.26x = 426,874.13 × 151,427.26
  4. Step 4: Simplify right side
    284,834.26x = 64,640,379,870.78
  5. Step 5: Solve for x
    x = 64,640,379,870.78/284,834.26
  6. Step 6: Final answer
    x = 226,940.33

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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.