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Finding the Fourth Proportional to 378,052.30, 567,078.45 and 238,084.30

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Solution

The fourth proportional to 378,052.30, 567,078.45 and 238,084.30 is: 357,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,052.30 : 567,078.45 = 238,084.30 : x
  2. Step 2: Convert to fraction form
    378,052.30/567,078.45 = 238,084.30/x
  3. Step 3: Cross multiply
    378,052.30x = 567,078.45 × 238,084.30
  4. Step 4: Simplify right side
    378,052.30x = 135,012,475,813.34
  5. Step 5: Solve for x
    x = 135,012,475,813.34/378,052.30
  6. Step 6: Final answer
    x = 357,126.45

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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.