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Finding the Fourth Proportional to 326,327.60, 489,232.20 and 178,583.60

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Solution

The fourth proportional to 326,327.60, 489,232.20 and 178,583.60 is: 267,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,327.60 : 489,232.20 = 178,583.60 : x
  2. Step 2: Convert to fraction form
    326,327.60/489,232.20 = 178,583.60/x
  3. Step 3: Cross multiply
    326,327.60x = 489,232.20 × 178,583.60
  4. Step 4: Simplify right side
    326,327.60x = 87,368,847,511.92
  5. Step 5: Solve for x
    x = 87,368,847,511.92/326,327.60
  6. Step 6: Final answer
    x = 267,733.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.