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Finding the Fourth Proportional to 431,608.50, 647,675.19 and 182,290.50

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Solution

The fourth proportional to 431,608.50, 647,675.19 and 182,290.50 is: 273,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,608.50 : 647,675.19 = 182,290.50 : x
  2. Step 2: Convert to fraction form
    431,608.50/647,675.19 = 182,290.50/x
  3. Step 3: Cross multiply
    431,608.50x = 647,675.19 × 182,290.50
  4. Step 4: Simplify right side
    431,608.50x = 118,065,034,222.70
  5. Step 5: Solve for x
    x = 118,065,034,222.70/431,608.50
  6. Step 6: Final answer
    x = 273,546.59

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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.