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Finding the Fourth Proportional to 601,325.50, 902,062.41 and 196,508.14

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Solution

The fourth proportional to 601,325.50, 902,062.41 and 196,508.14 is: 294,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,325.50 : 902,062.41 = 196,508.14 : x
  2. Step 2: Convert to fraction form
    601,325.50/902,062.41 = 196,508.14/x
  3. Step 3: Cross multiply
    601,325.50x = 902,062.41 × 196,508.14
  4. Step 4: Simplify right side
    601,325.50x = 177,262,606,353.02
  5. Step 5: Solve for x
    x = 177,262,606,353.02/601,325.50
  6. Step 6: Final answer
    x = 294,786.44

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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.