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Finding the Fourth Proportional to 304,114, 419,677.24 and 166,293.28

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Solution

The fourth proportional to 304,114, 419,677.24 and 166,293.28 is: 229,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,114 : 419,677.24 = 166,293.28 : x
  2. Step 2: Convert to fraction form
    304,114/419,677.24 = 166,293.28/x
  3. Step 3: Cross multiply
    304,114x = 419,677.24 × 166,293.28
  4. Step 4: Simplify right side
    304,114x = 69,789,504,780.95
  5. Step 5: Solve for x
    x = 69,789,504,780.95/304,114
  6. Step 6: Final answer
    x = 229,484.68

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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.