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Finding the Fourth Proportional to 488,936.98, 733,509.42 and 151,969.54

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Solution

The fourth proportional to 488,936.98, 733,509.42 and 151,969.54 is: 227,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,936.98 : 733,509.42 = 151,969.54 : x
  2. Step 2: Convert to fraction form
    488,936.98/733,509.42 = 151,969.54/x
  3. Step 3: Cross multiply
    488,936.98x = 733,509.42 × 151,969.54
  4. Step 4: Simplify right side
    488,936.98x = 111,471,089,143.07
  5. Step 5: Solve for x
    x = 111,471,089,143.07/488,936.98
  6. Step 6: Final answer
    x = 227,986.62

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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.