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Finding the Fourth Proportional to 297,912.92, 446,898.90 and 98,235.32

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Solution

The fourth proportional to 297,912.92, 446,898.90 and 98,235.32 is: 147,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,912.92 : 446,898.90 = 98,235.32 : x
  2. Step 2: Convert to fraction form
    297,912.92/446,898.90 = 98,235.32/x
  3. Step 3: Cross multiply
    297,912.92x = 446,898.90 × 98,235.32
  4. Step 4: Simplify right side
    297,912.92x = 43,901,256,449.15
  5. Step 5: Solve for x
    x = 43,901,256,449.15/297,912.92
  6. Step 6: Final answer
    x = 147,362.71

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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.