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Finding the Fourth Proportional to 271,464.96, 407,223.36 and 84,426.24

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Solution

The fourth proportional to 271,464.96, 407,223.36 and 84,426.24 is: 126,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,464.96 : 407,223.36 = 84,426.24 : x
  2. Step 2: Convert to fraction form
    271,464.96/407,223.36 = 84,426.24/x
  3. Step 3: Cross multiply
    271,464.96x = 407,223.36 × 84,426.24
  4. Step 4: Simplify right side
    271,464.96x = 34,380,337,124.97
  5. Step 5: Solve for x
    x = 34,380,337,124.97/271,464.96
  6. Step 6: Final answer
    x = 126,647.42

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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.