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Finding the Fourth Proportional to 271,394.54, 407,092.85 and 113,512.24

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Solution

The fourth proportional to 271,394.54, 407,092.85 and 113,512.24 is: 170,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,394.54 : 407,092.85 = 113,512.24 : x
  2. Step 2: Convert to fraction form
    271,394.54/407,092.85 = 113,512.24/x
  3. Step 3: Cross multiply
    271,394.54x = 407,092.85 × 113,512.24
  4. Step 4: Simplify right side
    271,394.54x = 46,210,021,291.48
  5. Step 5: Solve for x
    x = 46,210,021,291.48/271,394.54
  6. Step 6: Final answer
    x = 170,268.79

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1.5x scale

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.