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Finding the Fourth Proportional to 295,410.56, 407,667.84 and 161,277.44

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Solution

The fourth proportional to 295,410.56, 407,667.84 and 161,277.44 is: 222,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,410.56 : 407,667.84 = 161,277.44 : x
  2. Step 2: Convert to fraction form
    295,410.56/407,667.84 = 161,277.44/x
  3. Step 3: Cross multiply
    295,410.56x = 407,667.84 × 161,277.44
  4. Step 4: Simplify right side
    295,410.56x = 65,747,625,605.53
  5. Step 5: Solve for x
    x = 65,747,625,605.53/295,410.56
  6. Step 6: Final answer
    x = 222,563.56

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Why These Related Problems?

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