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Finding the Fourth Proportional to 415,010.20, 622,515.30 and 204,620.80

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Solution

The fourth proportional to 415,010.20, 622,515.30 and 204,620.80 is: 306,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,010.20 : 622,515.30 = 204,620.80 : x
  2. Step 2: Convert to fraction form
    415,010.20/622,515.30 = 204,620.80/x
  3. Step 3: Cross multiply
    415,010.20x = 622,515.30 × 204,620.80
  4. Step 4: Simplify right side
    415,010.20x = 127,379,578,698.24
  5. Step 5: Solve for x
    x = 127,379,578,698.24/415,010.20
  6. Step 6: Final answer
    x = 306,931.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.