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Finding the Fourth Proportional to 297,861.86, 411,052.10 and 161,896.11

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Solution

The fourth proportional to 297,861.86, 411,052.10 and 161,896.11 is: 223,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,861.86 : 411,052.10 = 161,896.11 : x
  2. Step 2: Convert to fraction form
    297,861.86/411,052.10 = 161,896.11/x
  3. Step 3: Cross multiply
    297,861.86x = 411,052.10 × 161,896.11
  4. Step 4: Simplify right side
    297,861.86x = 66,547,735,187.85
  5. Step 5: Solve for x
    x = 66,547,735,187.85/297,861.86
  6. Step 6: Final answer
    x = 223,418.12

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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.