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Finding the Fourth Proportional to 378,400.16, 522,191.58 and 208,634.78

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Solution

The fourth proportional to 378,400.16, 522,191.58 and 208,634.78 is: 287,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,400.16 : 522,191.58 = 208,634.78 : x
  2. Step 2: Convert to fraction form
    378,400.16/522,191.58 = 208,634.78/x
  3. Step 3: Cross multiply
    378,400.16x = 522,191.58 × 208,634.78
  4. Step 4: Simplify right side
    378,400.16x = 108,947,325,411.15
  5. Step 5: Solve for x
    x = 108,947,325,411.15/378,400.16
  6. Step 6: Final answer
    x = 287,915.64

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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.