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Finding the Fourth Proportional to 411,610.92, 617,416.40 and 271,336.74

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Solution

The fourth proportional to 411,610.92, 617,416.40 and 271,336.74 is: 407,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,610.92 : 617,416.40 = 271,336.74 : x
  2. Step 2: Convert to fraction form
    411,610.92/617,416.40 = 271,336.74/x
  3. Step 3: Cross multiply
    411,610.92x = 617,416.40 × 271,336.74
  4. Step 4: Simplify right side
    411,610.92x = 167,527,753,198.54
  5. Step 5: Solve for x
    x = 167,527,753,198.54/411,610.92
  6. Step 6: Final answer
    x = 407,005.12

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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.