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Finding the Fourth Proportional to 496,215.58, 684,762.87 and 281,375.26

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Solution

The fourth proportional to 496,215.58, 684,762.87 and 281,375.26 is: 388,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,215.58 : 684,762.87 = 281,375.26 : x
  2. Step 2: Convert to fraction form
    496,215.58/684,762.87 = 281,375.26/x
  3. Step 3: Cross multiply
    496,215.58x = 684,762.87 × 281,375.26
  4. Step 4: Simplify right side
    496,215.58x = 192,675,330,584.60
  5. Step 5: Solve for x
    x = 192,675,330,584.60/496,215.58
  6. Step 6: Final answer
    x = 388,289.56

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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.