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Finding the Fourth Proportional to 326,076.40, 489,114.60 and 200,105.20

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Solution

The fourth proportional to 326,076.40, 489,114.60 and 200,105.20 is: 300,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,076.40 : 489,114.60 = 200,105.20 : x
  2. Step 2: Convert to fraction form
    326,076.40/489,114.60 = 200,105.20/x
  3. Step 3: Cross multiply
    326,076.40x = 489,114.60 × 200,105.20
  4. Step 4: Simplify right side
    326,076.40x = 97,874,374,855.92
  5. Step 5: Solve for x
    x = 97,874,374,855.92/326,076.40
  6. Step 6: Final answer
    x = 300,157.80

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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.