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Finding the Fourth Proportional to 504,704.80, 757,348.80 and 189,193.60

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Solution

The fourth proportional to 504,704.80, 757,348.80 and 189,193.60 is: 283,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,704.80 : 757,348.80 = 189,193.60 : x
  2. Step 2: Convert to fraction form
    504,704.80/757,348.80 = 189,193.60/x
  3. Step 3: Cross multiply
    504,704.80x = 757,348.80 × 189,193.60
  4. Step 4: Simplify right side
    504,704.80x = 143,285,545,927.68
  5. Step 5: Solve for x
    x = 143,285,545,927.68/504,704.80
  6. Step 6: Final answer
    x = 283,899.71

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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.