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Finding the Fourth Proportional to 378,343.60, 522,117.73 and 208,583.80

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Solution

The fourth proportional to 378,343.60, 522,117.73 and 208,583.80 is: 287,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,343.60 : 522,117.73 = 208,583.80 : x
  2. Step 2: Convert to fraction form
    378,343.60/522,117.73 = 208,583.80/x
  3. Step 3: Cross multiply
    378,343.60x = 522,117.73 × 208,583.80
  4. Step 4: Simplify right side
    378,343.60x = 108,905,299,126.21
  5. Step 5: Solve for x
    x = 108,905,299,126.21/378,343.60
  6. Step 6: Final answer
    x = 287,847.61

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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.