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Finding the Fourth Proportional to 601,617.36, 902,453.12 and 196,832.64

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Solution

The fourth proportional to 601,617.36, 902,453.12 and 196,832.64 is: 295,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,617.36 : 902,453.12 = 196,832.64 : x
  2. Step 2: Convert to fraction form
    601,617.36/902,453.12 = 196,832.64/x
  3. Step 3: Cross multiply
    601,617.36x = 902,453.12 × 196,832.64
  4. Step 4: Simplify right side
    601,617.36x = 177,632,230,085.84
  5. Step 5: Solve for x
    x = 177,632,230,085.84/601,617.36
  6. Step 6: Final answer
    x = 295,257.82

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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.