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Finding the Fourth Proportional to 271,447.20, 407,329.56 and 113,662.44

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Solution

The fourth proportional to 271,447.20, 407,329.56 and 113,662.44 is: 170,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,447.20 : 407,329.56 = 113,662.44 : x
  2. Step 2: Convert to fraction form
    271,447.20/407,329.56 = 113,662.44/x
  3. Step 3: Cross multiply
    271,447.20x = 407,329.56 × 113,662.44
  4. Step 4: Simplify right side
    271,447.20x = 46,298,071,673.73
  5. Step 5: Solve for x
    x = 46,298,071,673.73/271,447.20
  6. Step 6: Final answer
    x = 170,560.14

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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.