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Finding the Fourth Proportional to 601,231.57, 901,858.86 and 196,424.90

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Solution

The fourth proportional to 601,231.57, 901,858.86 and 196,424.90 is: 294,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,231.57 : 901,858.86 = 196,424.90 : x
  2. Step 2: Convert to fraction form
    601,231.57/901,858.86 = 196,424.90/x
  3. Step 3: Cross multiply
    601,231.57x = 901,858.86 × 196,424.90
  4. Step 4: Simplify right side
    601,231.57x = 177,147,531,143.73
  5. Step 5: Solve for x
    x = 177,147,531,143.73/601,231.57
  6. Step 6: Final answer
    x = 294,641.10

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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.