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Finding the Fourth Proportional to 323,280.95, 446,141.55 and 180,041

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Solution

The fourth proportional to 323,280.95, 446,141.55 and 180,041 is: 248,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,280.95 : 446,141.55 = 180,041 : x
  2. Step 2: Convert to fraction form
    323,280.95/446,141.55 = 180,041/x
  3. Step 3: Cross multiply
    323,280.95x = 446,141.55 × 180,041
  4. Step 4: Simplify right side
    323,280.95x = 80,323,770,803.55
  5. Step 5: Solve for x
    x = 80,323,770,803.55/323,280.95
  6. Step 6: Final answer
    x = 248,464.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.