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Finding the Fourth Proportional to 284,836.77, 427,348.64 and 116,498.66

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Solution

The fourth proportional to 284,836.77, 427,348.64 and 116,498.66 is: 174,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,836.77 : 427,348.64 = 116,498.66 : x
  2. Step 2: Convert to fraction form
    284,836.77/427,348.64 = 116,498.66/x
  3. Step 3: Cross multiply
    284,836.77x = 427,348.64 × 116,498.66
  4. Step 4: Simplify right side
    284,836.77x = 49,785,542,067.33
  5. Step 5: Solve for x
    x = 49,785,542,067.33/284,836.77
  6. Step 6: Final answer
    x = 174,786.22

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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.