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Finding the Fourth Proportional to 304,105, 419,677.86 and 169,969

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Solution

The fourth proportional to 304,105, 419,677.86 and 169,969 is: 234,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,105 : 419,677.86 = 169,969 : x
  2. Step 2: Convert to fraction form
    304,105/419,677.86 = 169,969/x
  3. Step 3: Cross multiply
    304,105x = 419,677.86 × 169,969
  4. Step 4: Simplify right side
    304,105x = 71,332,226,186.34
  5. Step 5: Solve for x
    x = 71,332,226,186.34/304,105
  6. Step 6: Final answer
    x = 234,564.46

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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.