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Finding the Fourth Proportional to 378,393.60, 522,159.36 and 208,629.12

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Solution

The fourth proportional to 378,393.60, 522,159.36 and 208,629.12 is: 287,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,393.60 : 522,159.36 = 208,629.12 : x
  2. Step 2: Convert to fraction form
    378,393.60/522,159.36 = 208,629.12/x
  3. Step 3: Cross multiply
    378,393.60x = 522,159.36 × 208,629.12
  4. Step 4: Simplify right side
    378,393.60x = 108,937,647,776.56
  5. Step 5: Solve for x
    x = 108,937,647,776.56/378,393.60
  6. Step 6: Final answer
    x = 287,895.06

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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.