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Finding the Fourth Proportional to 533,409.24, 799,993.98 and 154,245.41

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Solution

The fourth proportional to 533,409.24, 799,993.98 and 154,245.41 is: 231,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,409.24 : 799,993.98 = 154,245.41 : x
  2. Step 2: Convert to fraction form
    533,409.24/799,993.98 = 154,245.41/x
  3. Step 3: Cross multiply
    533,409.24x = 799,993.98 × 154,245.41
  4. Step 4: Simplify right side
    533,409.24x = 123,395,395,442.66
  5. Step 5: Solve for x
    x = 123,395,395,442.66/533,409.24
  6. Step 6: Final answer
    x = 231,333.44

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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.