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Finding the Fourth Proportional to 284,640.52, 426,590.37 and 115,963.30

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Solution

The fourth proportional to 284,640.52, 426,590.37 and 115,963.30 is: 173,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640.52 : 426,590.37 = 115,963.30 : x
  2. Step 2: Convert to fraction form
    284,640.52/426,590.37 = 115,963.30/x
  3. Step 3: Cross multiply
    284,640.52x = 426,590.37 × 115,963.30
  4. Step 4: Simplify right side
    284,640.52x = 49,468,827,053.42
  5. Step 5: Solve for x
    x = 49,468,827,053.42/284,640.52
  6. Step 6: Final answer
    x = 173,794.04

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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.