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Finding the Fourth Proportional to 295,285.64, 407,488.50 and 161,150.60

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Solution

The fourth proportional to 295,285.64, 407,488.50 and 161,150.60 is: 222,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,285.64 : 407,488.50 = 161,150.60 : x
  2. Step 2: Convert to fraction form
    295,285.64/407,488.50 = 161,150.60/x
  3. Step 3: Cross multiply
    295,285.64x = 407,488.50 × 161,150.60
  4. Step 4: Simplify right side
    295,285.64x = 65,667,016,268.10
  5. Step 5: Solve for x
    x = 65,667,016,268.10/295,285.64
  6. Step 6: Final answer
    x = 222,384.73

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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.