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Finding the Fourth Proportional to 323,766.10, 446,776.32 and 180,517.60

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Solution

The fourth proportional to 323,766.10, 446,776.32 and 180,517.60 is: 249,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,766.10 : 446,776.32 = 180,517.60 : x
  2. Step 2: Convert to fraction form
    323,766.10/446,776.32 = 180,517.60/x
  3. Step 3: Cross multiply
    323,766.10x = 446,776.32 × 180,517.60
  4. Step 4: Simplify right side
    323,766.10x = 80,650,989,023.23
  5. Step 5: Solve for x
    x = 80,650,989,023.23/323,766.10
  6. Step 6: Final answer
    x = 249,102.64

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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.