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Finding the Fourth Proportional to 302,255.49, 417,112.60 and 166,286.53

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Solution

The fourth proportional to 302,255.49, 417,112.60 and 166,286.53 is: 229,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,255.49 : 417,112.60 = 166,286.53 : x
  2. Step 2: Convert to fraction form
    302,255.49/417,112.60 = 166,286.53/x
  3. Step 3: Cross multiply
    302,255.49x = 417,112.60 × 166,286.53
  4. Step 4: Simplify right side
    302,255.49x = 69,360,206,873.28
  5. Step 5: Solve for x
    x = 69,360,206,873.28/302,255.49
  6. Step 6: Final answer
    x = 229,475.42

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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.