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Finding the Fourth Proportional to 297,710.73, 410,845.47 and 161,747.37

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Solution

The fourth proportional to 297,710.73, 410,845.47 and 161,747.37 is: 223,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,710.73 : 410,845.47 = 161,747.37 : x
  2. Step 2: Convert to fraction form
    297,710.73/410,845.47 = 161,747.37/x
  3. Step 3: Cross multiply
    297,710.73x = 410,845.47 × 161,747.37
  4. Step 4: Simplify right side
    297,710.73x = 66,453,174,248.91
  5. Step 5: Solve for x
    x = 66,453,174,248.91/297,710.73
  6. Step 6: Final answer
    x = 223,213.90

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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.