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Finding the Fourth Proportional to 297,997.13, 411,236.10 and 163,861.13

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Solution

The fourth proportional to 297,997.13, 411,236.10 and 163,861.13 is: 226,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997.13 : 411,236.10 = 163,861.13 : x
  2. Step 2: Convert to fraction form
    297,997.13/411,236.10 = 163,861.13/x
  3. Step 3: Cross multiply
    297,997.13x = 411,236.10 × 163,861.13
  4. Step 4: Simplify right side
    297,997.13x = 67,385,609,986.61
  5. Step 5: Solve for x
    x = 67,385,609,986.61/297,997.13
  6. Step 6: Final answer
    x = 226,128.39

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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.