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Finding the Fourth Proportional to 297,727.80, 446,073.30 and 256,255.80

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Solution

The fourth proportional to 297,727.80, 446,073.30 and 256,255.80 is: 383,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,727.80 : 446,073.30 = 256,255.80 : x
  2. Step 2: Convert to fraction form
    297,727.80/446,073.30 = 256,255.80/x
  3. Step 3: Cross multiply
    297,727.80x = 446,073.30 × 256,255.80
  4. Step 4: Simplify right side
    297,727.80x = 114,308,870,350.14
  5. Step 5: Solve for x
    x = 114,308,870,350.14/297,727.80
  6. Step 6: Final answer
    x = 383,937.51

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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.