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Finding the Fourth Proportional to 313,830.72, 433,087.38 and 170,591.22

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Solution

The fourth proportional to 313,830.72, 433,087.38 and 170,591.22 is: 235,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830.72 : 433,087.38 = 170,591.22 : x
  2. Step 2: Convert to fraction form
    313,830.72/433,087.38 = 170,591.22/x
  3. Step 3: Cross multiply
    313,830.72x = 433,087.38 × 170,591.22
  4. Step 4: Simplify right side
    313,830.72x = 73,880,904,520.80
  5. Step 5: Solve for x
    x = 73,880,904,520.80/313,830.72
  6. Step 6: Final answer
    x = 235,416.42

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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.