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Finding the Fourth Proportional to 313,884.26, 433,163.94 and 170,641.16

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Solution

The fourth proportional to 313,884.26, 433,163.94 and 170,641.16 is: 235,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,884.26 : 433,163.94 = 170,641.16 : x
  2. Step 2: Convert to fraction form
    313,884.26/433,163.94 = 170,641.16/x
  3. Step 3: Cross multiply
    313,884.26x = 433,163.94 × 170,641.16
  4. Step 4: Simplify right side
    313,884.26x = 73,915,597,191.77
  5. Step 5: Solve for x
    x = 73,915,597,191.77/313,884.26
  6. Step 6: Final answer
    x = 235,486.79

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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.