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Finding the Fourth Proportional to 488,767.80, 733,266.44 and 151,791.06

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Solution

The fourth proportional to 488,767.80, 733,266.44 and 151,791.06 is: 227,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,767.80 : 733,266.44 = 151,791.06 : x
  2. Step 2: Convert to fraction form
    488,767.80/733,266.44 = 151,791.06/x
  3. Step 3: Cross multiply
    488,767.80x = 733,266.44 × 151,791.06
  4. Step 4: Simplify right side
    488,767.80x = 111,303,290,190.03
  5. Step 5: Solve for x
    x = 111,303,290,190.03/488,767.80
  6. Step 6: Final answer
    x = 227,722.22

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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.