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Finding the Fourth Proportional to 505,183.76, 697,142.94 and 275,733.44

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Solution

The fourth proportional to 505,183.76, 697,142.94 and 275,733.44 is: 380,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,183.76 : 697,142.94 = 275,733.44 : x
  2. Step 2: Convert to fraction form
    505,183.76/697,142.94 = 275,733.44/x
  3. Step 3: Cross multiply
    505,183.76x = 697,142.94 × 275,733.44
  4. Step 4: Simplify right side
    505,183.76x = 192,225,621,017.91
  5. Step 5: Solve for x
    x = 192,225,621,017.91/505,183.76
  6. Step 6: Final answer
    x = 380,506.33

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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.