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Finding the Fourth Proportional to 297,709.80, 446,046.30 and 256,237.80

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Solution

The fourth proportional to 297,709.80, 446,046.30 and 256,237.80 is: 383,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,709.80 : 446,046.30 = 256,237.80 : x
  2. Step 2: Convert to fraction form
    297,709.80/446,046.30 = 256,237.80/x
  3. Step 3: Cross multiply
    297,709.80x = 446,046.30 × 256,237.80
  4. Step 4: Simplify right side
    297,709.80x = 114,293,922,610.14
  5. Step 5: Solve for x
    x = 114,293,922,610.14/297,709.80
  6. Step 6: Final answer
    x = 383,910.51

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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.