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Finding the Fourth Proportional to 259,494.40, 389,212.80 and 212,665.60

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Solution

The fourth proportional to 259,494.40, 389,212.80 and 212,665.60 is: 318,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,494.40 : 389,212.80 = 212,665.60 : x
  2. Step 2: Convert to fraction form
    259,494.40/389,212.80 = 212,665.60/x
  3. Step 3: Cross multiply
    259,494.40x = 389,212.80 × 212,665.60
  4. Step 4: Simplify right side
    259,494.40x = 82,772,173,639.68
  5. Step 5: Solve for x
    x = 82,772,173,639.68/259,494.40
  6. Step 6: Final answer
    x = 318,974.80

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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.