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Finding the Fourth Proportional to 297,912.32, 446,896.02 and 84,684.68

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Solution

The fourth proportional to 297,912.32, 446,896.02 and 84,684.68 is: 127,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,912.32 : 446,896.02 = 84,684.68 : x
  2. Step 2: Convert to fraction form
    297,912.32/446,896.02 = 84,684.68/x
  3. Step 3: Cross multiply
    297,912.32x = 446,896.02 × 84,684.68
  4. Step 4: Simplify right side
    297,912.32x = 37,845,246,446.97
  5. Step 5: Solve for x
    x = 37,845,246,446.97/297,912.32
  6. Step 6: Final answer
    x = 127,034.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.