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Finding the Fourth Proportional to 399,583.56, 599,462.94 and 150,265.48

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Solution

The fourth proportional to 399,583.56, 599,462.94 and 150,265.48 is: 225,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,583.56 : 599,462.94 = 150,265.48 : x
  2. Step 2: Convert to fraction form
    399,583.56/599,462.94 = 150,265.48/x
  3. Step 3: Cross multiply
    399,583.56x = 599,462.94 × 150,265.48
  4. Step 4: Simplify right side
    399,583.56x = 90,078,586,421.31
  5. Step 5: Solve for x
    x = 90,078,586,421.31/399,583.56
  6. Step 6: Final answer
    x = 225,431.16

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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.