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Finding the Fourth Proportional to 297,995.76, 411,234.15 and 163,859.76

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Solution

The fourth proportional to 297,995.76, 411,234.15 and 163,859.76 is: 226,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,995.76 : 411,234.15 = 163,859.76 : x
  2. Step 2: Convert to fraction form
    297,995.76/411,234.15 = 163,859.76/x
  3. Step 3: Cross multiply
    297,995.76x = 411,234.15 × 163,859.76
  4. Step 4: Simplify right side
    297,995.76x = 67,384,729,122.80
  5. Step 5: Solve for x
    x = 67,384,729,122.80/297,995.76
  6. Step 6: Final answer
    x = 226,126.47

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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.