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Finding the Fourth Proportional to 304,089.36, 419,630.94 and 168,114.66

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Solution

The fourth proportional to 304,089.36, 419,630.94 and 168,114.66 is: 231,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,089.36 : 419,630.94 = 168,114.66 : x
  2. Step 2: Convert to fraction form
    304,089.36/419,630.94 = 168,114.66/x
  3. Step 3: Cross multiply
    304,089.36x = 419,630.94 × 168,114.66
  4. Step 4: Simplify right side
    304,089.36x = 70,546,112,803.58
  5. Step 5: Solve for x
    x = 70,546,112,803.58/304,089.36
  6. Step 6: Final answer
    x = 231,991.39

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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.