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Finding the Fourth Proportional to 378,343.44, 522,117.44 and 208,583.64

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Solution

The fourth proportional to 378,343.44, 522,117.44 and 208,583.64 is: 287,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,343.44 : 522,117.44 = 208,583.64 : x
  2. Step 2: Convert to fraction form
    378,343.44/522,117.44 = 208,583.64/x
  3. Step 3: Cross multiply
    378,343.44x = 522,117.44 × 208,583.64
  4. Step 4: Simplify right side
    378,343.44x = 108,905,156,142.68
  5. Step 5: Solve for x
    x = 108,905,156,142.68/378,343.44
  6. Step 6: Final answer
    x = 287,847.35

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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.