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Finding the Fourth Proportional to 378,184.30, 567,276.45 and 238,216.30

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Solution

The fourth proportional to 378,184.30, 567,276.45 and 238,216.30 is: 357,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,184.30 : 567,276.45 = 238,216.30 : x
  2. Step 2: Convert to fraction form
    378,184.30/567,276.45 = 238,216.30/x
  3. Step 3: Cross multiply
    378,184.30x = 567,276.45 × 238,216.30
  4. Step 4: Simplify right side
    378,184.30x = 135,134,496,996.14
  5. Step 5: Solve for x
    x = 135,134,496,996.14/378,184.30
  6. Step 6: Final answer
    x = 357,324.45

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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.