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Finding the Fourth Proportional to 276,427.60, 415,078.80 and 209,942.80

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Solution

The fourth proportional to 276,427.60, 415,078.80 and 209,942.80 is: 315,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,427.60 : 415,078.80 = 209,942.80 : x
  2. Step 2: Convert to fraction form
    276,427.60/415,078.80 = 209,942.80/x
  3. Step 3: Cross multiply
    276,427.60x = 415,078.80 × 209,942.80
  4. Step 4: Simplify right side
    276,427.60x = 87,142,805,492.64
  5. Step 5: Solve for x
    x = 87,142,805,492.64/276,427.60
  6. Step 6: Final answer
    x = 315,246.40

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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.