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Finding the Fourth Proportional to 302,243.28, 417,087.36 and 164,417.62

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Solution

The fourth proportional to 302,243.28, 417,087.36 and 164,417.62 is: 226,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,243.28 : 417,087.36 = 164,417.62 : x
  2. Step 2: Convert to fraction form
    302,243.28/417,087.36 = 164,417.62/x
  3. Step 3: Cross multiply
    302,243.28x = 417,087.36 × 164,417.62
  4. Step 4: Simplify right side
    302,243.28x = 68,576,511,063.28
  5. Step 5: Solve for x
    x = 68,576,511,063.28/302,243.28
  6. Step 6: Final answer
    x = 226,891.76

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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.