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Finding the Fourth Proportional to 378,797.96, 567,655.50 and 278,168.84

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Solution

The fourth proportional to 378,797.96, 567,655.50 and 278,168.84 is: 416,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,797.96 : 567,655.50 = 278,168.84 : x
  2. Step 2: Convert to fraction form
    378,797.96/567,655.50 = 278,168.84/x
  3. Step 3: Cross multiply
    378,797.96x = 567,655.50 × 278,168.84
  4. Step 4: Simplify right side
    378,797.96x = 157,904,071,954.62
  5. Step 5: Solve for x
    x = 157,904,071,954.62/378,797.96
  6. Step 6: Final answer
    x = 416,855.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.