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Finding the Fourth Proportional to 397,037, 547,911.06 and 218,189

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Solution

The fourth proportional to 397,037, 547,911.06 and 218,189 is: 301,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,037 : 547,911.06 = 218,189 : x
  2. Step 2: Convert to fraction form
    397,037/547,911.06 = 218,189/x
  3. Step 3: Cross multiply
    397,037x = 547,911.06 × 218,189
  4. Step 4: Simplify right side
    397,037x = 119,548,166,270.34
  5. Step 5: Solve for x
    x = 119,548,166,270.34/397,037
  6. Step 6: Final answer
    x = 301,100.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.