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Finding the Fourth Proportional to 284,305.28, 426,648 and 118,093.28

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Solution

The fourth proportional to 284,305.28, 426,648 and 118,093.28 is: 177,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,305.28 : 426,648 = 118,093.28 : x
  2. Step 2: Convert to fraction form
    284,305.28/426,648 = 118,093.28/x
  3. Step 3: Cross multiply
    284,305.28x = 426,648 × 118,093.28
  4. Step 4: Simplify right side
    284,305.28x = 50,384,261,725.44
  5. Step 5: Solve for x
    x = 50,384,261,725.44/284,305.28
  6. Step 6: Final answer
    x = 177,218.87

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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.