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Finding the Fourth Proportional to 275,776.80, 412,858.80 and 205,965.60

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Solution

The fourth proportional to 275,776.80, 412,858.80 and 205,965.60 is: 308,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,776.80 : 412,858.80 = 205,965.60 : x
  2. Step 2: Convert to fraction form
    275,776.80/412,858.80 = 205,965.60/x
  3. Step 3: Cross multiply
    275,776.80x = 412,858.80 × 205,965.60
  4. Step 4: Simplify right side
    275,776.80x = 85,034,710,457.28
  5. Step 5: Solve for x
    x = 85,034,710,457.28/275,776.80
  6. Step 6: Final answer
    x = 308,346.14

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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.