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Finding the Fourth Proportional to 299,311.82, 448,700.70 and 109,727.91

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Solution

The fourth proportional to 299,311.82, 448,700.70 and 109,727.91 is: 164,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.82 : 448,700.70 = 109,727.91 : x
  2. Step 2: Convert to fraction form
    299,311.82/448,700.70 = 109,727.91/x
  3. Step 3: Cross multiply
    299,311.82x = 448,700.70 × 109,727.91
  4. Step 4: Simplify right side
    299,311.82x = 49,234,989,968.22
  5. Step 5: Solve for x
    x = 49,234,989,968.22/299,311.82
  6. Step 6: Final answer
    x = 164,493.97

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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.