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Finding the Fourth Proportional to 378,578.58, 522,438.84 and 217,464.80

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Solution

The fourth proportional to 378,578.58, 522,438.84 and 217,464.80 is: 300,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,578.58 : 522,438.84 = 217,464.80 : x
  2. Step 2: Convert to fraction form
    378,578.58/522,438.84 = 217,464.80/x
  3. Step 3: Cross multiply
    378,578.58x = 522,438.84 × 217,464.80
  4. Step 4: Simplify right side
    378,578.58x = 113,612,057,567.74
  5. Step 5: Solve for x
    x = 113,612,057,567.74/378,578.58
  6. Step 6: Final answer
    x = 300,101.65

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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.