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Finding the Fourth Proportional to 433,820.26, 647,777.26 and 382,794.04

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Solution

The fourth proportional to 433,820.26, 647,777.26 and 382,794.04 is: 571,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,820.26 : 647,777.26 = 382,794.04 : x
  2. Step 2: Convert to fraction form
    433,820.26/647,777.26 = 382,794.04/x
  3. Step 3: Cross multiply
    433,820.26x = 647,777.26 × 382,794.04
  4. Step 4: Simplify right side
    433,820.26x = 247,965,274,375.53
  5. Step 5: Solve for x
    x = 247,965,274,375.53/433,820.26
  6. Step 6: Final answer
    x = 571,585.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.