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Finding the Fourth Proportional to 304,078.86, 419,616.45 and 168,104.16

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Solution

The fourth proportional to 304,078.86, 419,616.45 and 168,104.16 is: 231,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,078.86 : 419,616.45 = 168,104.16 : x
  2. Step 2: Convert to fraction form
    304,078.86/419,616.45 = 168,104.16/x
  3. Step 3: Cross multiply
    304,078.86x = 419,616.45 × 168,104.16
  4. Step 4: Simplify right side
    304,078.86x = 70,539,270,849.43
  5. Step 5: Solve for x
    x = 70,539,270,849.43/304,078.86
  6. Step 6: Final answer
    x = 231,976.90

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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.