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Finding the Fourth Proportional to 304,104.36, 419,627 and 168,119.42

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Solution

The fourth proportional to 304,104.36, 419,627 and 168,119.42 is: 231,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,104.36 : 419,627 = 168,119.42 : x
  2. Step 2: Convert to fraction form
    304,104.36/419,627 = 168,119.42/x
  3. Step 3: Cross multiply
    304,104.36x = 419,627 × 168,119.42
  4. Step 4: Simplify right side
    304,104.36x = 70,547,447,856.34
  5. Step 5: Solve for x
    x = 70,547,447,856.34/304,104.36
  6. Step 6: Final answer
    x = 231,984.34

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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.