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Finding the Fourth Proportional to 378,395.10, 522,188.77 and 208,635.26

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Solution

The fourth proportional to 378,395.10, 522,188.77 and 208,635.26 is: 287,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,395.10 : 522,188.77 = 208,635.26 : x
  2. Step 2: Convert to fraction form
    378,395.10/522,188.77 = 208,635.26/x
  3. Step 3: Cross multiply
    378,395.10x = 522,188.77 × 208,635.26
  4. Step 4: Simplify right side
    378,395.10x = 108,946,990,321.12
  5. Step 5: Solve for x
    x = 108,946,990,321.12/378,395.10
  6. Step 6: Final answer
    x = 287,918.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.