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Finding the Fourth Proportional to 601,681.90, 902,222.36 and 196,821.27

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Solution

The fourth proportional to 601,681.90, 902,222.36 and 196,821.27 is: 295,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,681.90 : 902,222.36 = 196,821.27 : x
  2. Step 2: Convert to fraction form
    601,681.90/902,222.36 = 196,821.27/x
  3. Step 3: Cross multiply
    601,681.90x = 902,222.36 × 196,821.27
  4. Step 4: Simplify right side
    601,681.90x = 177,576,550,717.60
  5. Step 5: Solve for x
    x = 177,576,550,717.60/601,681.90
  6. Step 6: Final answer
    x = 295,133.61

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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.