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Finding the Fourth Proportional to 297,111.34, 410,022.95 and 168,047.31

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Solution

The fourth proportional to 297,111.34, 410,022.95 and 168,047.31 is: 231,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,111.34 : 410,022.95 = 168,047.31 : x
  2. Step 2: Convert to fraction form
    297,111.34/410,022.95 = 168,047.31/x
  3. Step 3: Cross multiply
    297,111.34x = 410,022.95 × 168,047.31
  4. Step 4: Simplify right side
    297,111.34x = 68,903,252,176.73
  5. Step 5: Solve for x
    x = 68,903,252,176.73/297,111.34
  6. Step 6: Final answer
    x = 231,910.54

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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.