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Finding the Fourth Proportional to 284,953.53, 427,272.30 and 116,591.97

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Solution

The fourth proportional to 284,953.53, 427,272.30 and 116,591.97 is: 174,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953.53 : 427,272.30 = 116,591.97 : x
  2. Step 2: Convert to fraction form
    284,953.53/427,272.30 = 116,591.97/x
  3. Step 3: Cross multiply
    284,953.53x = 427,272.30 × 116,591.97
  4. Step 4: Simplify right side
    284,953.53x = 49,816,519,183.43
  5. Step 5: Solve for x
    x = 49,816,519,183.43/284,953.53
  6. Step 6: Final answer
    x = 174,823.31

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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.