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Finding the Fourth Proportional to 297,996, 411,234.48 and 163,860

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Solution

The fourth proportional to 297,996, 411,234.48 and 163,860 is: 226,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,996 : 411,234.48 = 163,860 : x
  2. Step 2: Convert to fraction form
    297,996/411,234.48 = 163,860/x
  3. Step 3: Cross multiply
    297,996x = 411,234.48 × 163,860
  4. Step 4: Simplify right side
    297,996x = 67,384,881,892.80
  5. Step 5: Solve for x
    x = 67,384,881,892.80/297,996
  6. Step 6: Final answer
    x = 226,126.80

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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.