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Finding the Fourth Proportional to 284,889.43, 427,176.37 and 116,527.97

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Solution

The fourth proportional to 284,889.43, 427,176.37 and 116,527.97 is: 174,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,889.43 : 427,176.37 = 116,527.97 : x
  2. Step 2: Convert to fraction form
    284,889.43/427,176.37 = 116,527.97/x
  3. Step 3: Cross multiply
    284,889.43x = 427,176.37 × 116,527.97
  4. Step 4: Simplify right side
    284,889.43x = 49,777,995,228.07
  5. Step 5: Solve for x
    x = 49,777,995,228.07/284,889.43
  6. Step 6: Final answer
    x = 174,727.42

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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.