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Finding the Fourth Proportional to 384,930.40, 576,781.20 and 322,261.60

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Solution

The fourth proportional to 384,930.40, 576,781.20 and 322,261.60 is: 482,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,930.40 : 576,781.20 = 322,261.60 : x
  2. Step 2: Convert to fraction form
    384,930.40/576,781.20 = 322,261.60/x
  3. Step 3: Cross multiply
    384,930.40x = 576,781.20 × 322,261.60
  4. Step 4: Simplify right side
    384,930.40x = 185,874,432,361.92
  5. Step 5: Solve for x
    x = 185,874,432,361.92/384,930.40
  6. Step 6: Final answer
    x = 482,878.03

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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.