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Finding the Fourth Proportional to 284,894.91, 427,184.57 and 116,533.44

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Solution

The fourth proportional to 284,894.91, 427,184.57 and 116,533.44 is: 174,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894.91 : 427,184.57 = 116,533.44 : x
  2. Step 2: Convert to fraction form
    284,894.91/427,184.57 = 116,533.44/x
  3. Step 3: Cross multiply
    284,894.91x = 427,184.57 × 116,533.44
  4. Step 4: Simplify right side
    284,894.91x = 49,781,286,874.35
  5. Step 5: Solve for x
    x = 49,781,286,874.35/284,894.91
  6. Step 6: Final answer
    x = 174,735.61

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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.