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Finding the Fourth Proportional to 297,832.57, 411,012.12 and 161,866.53

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Solution

The fourth proportional to 297,832.57, 411,012.12 and 161,866.53 is: 223,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,832.57 : 411,012.12 = 161,866.53 : x
  2. Step 2: Convert to fraction form
    297,832.57/411,012.12 = 161,866.53/x
  3. Step 3: Cross multiply
    297,832.57x = 411,012.12 × 161,866.53
  4. Step 4: Simplify right side
    297,832.57x = 66,529,105,652.34
  5. Step 5: Solve for x
    x = 66,529,105,652.34/297,832.57
  6. Step 6: Final answer
    x = 223,377.54

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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.