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Finding the Fourth Proportional to 297,999.40, 446,826.30 and 111,029.80

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Solution

The fourth proportional to 297,999.40, 446,826.30 and 111,029.80 is: 166,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,999.40 : 446,826.30 = 111,029.80 : x
  2. Step 2: Convert to fraction form
    297,999.40/446,826.30 = 111,029.80/x
  3. Step 3: Cross multiply
    297,999.40x = 446,826.30 × 111,029.80
  4. Step 4: Simplify right side
    297,999.40x = 49,611,034,723.74
  5. Step 5: Solve for x
    x = 49,611,034,723.74/297,999.40
  6. Step 6: Final answer
    x = 166,480.32

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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.