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Finding the Fourth Proportional to 271,710.54, 407,434.70 and 113,896.62

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Solution

The fourth proportional to 271,710.54, 407,434.70 and 113,896.62 is: 170,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,710.54 : 407,434.70 = 113,896.62 : x
  2. Step 2: Convert to fraction form
    271,710.54/407,434.70 = 113,896.62/x
  3. Step 3: Cross multiply
    271,710.54x = 407,434.70 × 113,896.62
  4. Step 4: Simplify right side
    271,710.54x = 46,405,435,200.71
  5. Step 5: Solve for x
    x = 46,405,435,200.71/271,710.54
  6. Step 6: Final answer
    x = 170,789.97

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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.