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Finding the Fourth Proportional to 434,163.38, 599,157.15 and 243,172.58

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Solution

The fourth proportional to 434,163.38, 599,157.15 and 243,172.58 is: 335,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,163.38 : 599,157.15 = 243,172.58 : x
  2. Step 2: Convert to fraction form
    434,163.38/599,157.15 = 243,172.58/x
  3. Step 3: Cross multiply
    434,163.38x = 599,157.15 × 243,172.58
  4. Step 4: Simplify right side
    434,163.38x = 145,698,589,990.95
  5. Step 5: Solve for x
    x = 145,698,589,990.95/434,163.38
  6. Step 6: Final answer
    x = 335,584.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.