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Finding the Fourth Proportional to 299,997.36, 414,100.53 and 172,723.68

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Solution

The fourth proportional to 299,997.36, 414,100.53 and 172,723.68 is: 238,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,997.36 : 414,100.53 = 172,723.68 : x
  2. Step 2: Convert to fraction form
    299,997.36/414,100.53 = 172,723.68/x
  3. Step 3: Cross multiply
    299,997.36x = 414,100.53 × 172,723.68
  4. Step 4: Simplify right side
    299,997.36x = 71,524,967,431.55
  5. Step 5: Solve for x
    x = 71,524,967,431.55/299,997.36
  6. Step 6: Final answer
    x = 238,418.66

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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.