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Finding the Fourth Proportional to 275,436.80, 412,280.40 and 254,441.60

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Solution

The fourth proportional to 275,436.80, 412,280.40 and 254,441.60 is: 380,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,436.80 : 412,280.40 = 254,441.60 : x
  2. Step 2: Convert to fraction form
    275,436.80/412,280.40 = 254,441.60/x
  3. Step 3: Cross multiply
    275,436.80x = 412,280.40 × 254,441.60
  4. Step 4: Simplify right side
    275,436.80x = 104,901,284,624.64
  5. Step 5: Solve for x
    x = 104,901,284,624.64/275,436.80
  6. Step 6: Final answer
    x = 380,854.28

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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.