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Finding the Fourth Proportional to 271,405.60, 407,109.44 and 113,523.33

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Solution

The fourth proportional to 271,405.60, 407,109.44 and 113,523.33 is: 170,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,405.60 : 407,109.44 = 113,523.33 : x
  2. Step 2: Convert to fraction form
    271,405.60/407,109.44 = 113,523.33/x
  3. Step 3: Cross multiply
    271,405.60x = 407,109.44 × 113,523.33
  4. Step 4: Simplify right side
    271,405.60x = 46,216,419,303.24
  5. Step 5: Solve for x
    x = 46,216,419,303.24/271,405.60
  6. Step 6: Final answer
    x = 170,285.43

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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.