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Finding the Fourth Proportional to 601,682.16, 902,222.72 and 196,821.52

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Solution

The fourth proportional to 601,682.16, 902,222.72 and 196,821.52 is: 295,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,682.16 : 902,222.72 = 196,821.52 : x
  2. Step 2: Convert to fraction form
    601,682.16/902,222.72 = 196,821.52/x
  3. Step 3: Cross multiply
    601,682.16x = 902,222.72 × 196,821.52
  4. Step 4: Simplify right side
    601,682.16x = 177,576,847,128.93
  5. Step 5: Solve for x
    x = 177,576,847,128.93/601,682.16
  6. Step 6: Final answer
    x = 295,133.97

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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.