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Finding the Fourth Proportional to 386,853.60, 580,280.40 and 254,143.20

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Solution

The fourth proportional to 386,853.60, 580,280.40 and 254,143.20 is: 381,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,853.60 : 580,280.40 = 254,143.20 : x
  2. Step 2: Convert to fraction form
    386,853.60/580,280.40 = 254,143.20/x
  3. Step 3: Cross multiply
    386,853.60x = 580,280.40 × 254,143.20
  4. Step 4: Simplify right side
    386,853.60x = 147,474,317,753.28
  5. Step 5: Solve for x
    x = 147,474,317,753.28/386,853.60
  6. Step 6: Final answer
    x = 381,214.80

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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.