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Finding the Fourth Proportional to 297,828.80, 446,743.20 and 264,651.20

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Solution

The fourth proportional to 297,828.80, 446,743.20 and 264,651.20 is: 396,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,828.80 : 446,743.20 = 264,651.20 : x
  2. Step 2: Convert to fraction form
    297,828.80/446,743.20 = 264,651.20/x
  3. Step 3: Cross multiply
    297,828.80x = 446,743.20 × 264,651.20
  4. Step 4: Simplify right side
    297,828.80x = 118,231,123,971.84
  5. Step 5: Solve for x
    x = 118,231,123,971.84/297,828.80
  6. Step 6: Final answer
    x = 396,976.80

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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.