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Finding the Fourth Proportional to 295,286.64, 407,489.88 and 161,151.60

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Solution

The fourth proportional to 295,286.64, 407,489.88 and 161,151.60 is: 222,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,286.64 : 407,489.88 = 161,151.60 : x
  2. Step 2: Convert to fraction form
    295,286.64/407,489.88 = 161,151.60/x
  3. Step 3: Cross multiply
    295,286.64x = 407,489.88 × 161,151.60
  4. Step 4: Simplify right side
    295,286.64x = 65,667,646,145.81
  5. Step 5: Solve for x
    x = 65,667,646,145.81/295,286.64
  6. Step 6: Final answer
    x = 222,386.11

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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.