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Finding the Fourth Proportional to 298,410.72, 411,781.68 and 171,057.12

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Solution

The fourth proportional to 298,410.72, 411,781.68 and 171,057.12 is: 236,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,410.72 : 411,781.68 = 171,057.12 : x
  2. Step 2: Convert to fraction form
    298,410.72/411,781.68 = 171,057.12/x
  3. Step 3: Cross multiply
    298,410.72x = 411,781.68 × 171,057.12
  4. Step 4: Simplify right side
    298,410.72x = 70,438,188,249.56
  5. Step 5: Solve for x
    x = 70,438,188,249.56/298,410.72
  6. Step 6: Final answer
    x = 236,044.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.