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Finding the Fourth Proportional to 399,584.56, 599,464.44 and 150,266.48

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Solution

The fourth proportional to 399,584.56, 599,464.44 and 150,266.48 is: 225,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,584.56 : 599,464.44 = 150,266.48 : x
  2. Step 2: Convert to fraction form
    399,584.56/599,464.44 = 150,266.48/x
  3. Step 3: Cross multiply
    399,584.56x = 599,464.44 × 150,266.48
  4. Step 4: Simplify right side
    399,584.56x = 90,079,411,283.97
  5. Step 5: Solve for x
    x = 90,079,411,283.97/399,584.56
  6. Step 6: Final answer
    x = 225,432.66

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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.