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Finding the Fourth Proportional to 304,041.36, 419,577.64 and 169,905.36

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Solution

The fourth proportional to 304,041.36, 419,577.64 and 169,905.36 is: 234,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,041.36 : 419,577.64 = 169,905.36 : x
  2. Step 2: Convert to fraction form
    304,041.36/419,577.64 = 169,905.36/x
  3. Step 3: Cross multiply
    304,041.36x = 419,577.64 × 169,905.36
  4. Step 4: Simplify right side
    304,041.36x = 71,288,489,972.15
  5. Step 5: Solve for x
    x = 71,288,489,972.15/304,041.36
  6. Step 6: Final answer
    x = 234,469.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.