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Finding the Fourth Proportional to 427,422.27, 641,133.27 and 161,120.50

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Solution

The fourth proportional to 427,422.27, 641,133.27 and 161,120.50 is: 241,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,422.27 : 641,133.27 = 161,120.50 : x
  2. Step 2: Convert to fraction form
    427,422.27/641,133.27 = 161,120.50/x
  3. Step 3: Cross multiply
    427,422.27x = 641,133.27 × 161,120.50
  4. Step 4: Simplify right side
    427,422.27x = 103,299,716,585.58
  5. Step 5: Solve for x
    x = 103,299,716,585.58/427,422.27
  6. Step 6: Final answer
    x = 241,680.71

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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.