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Finding the Fourth Proportional to 304,051.20, 419,587.84 and 168,093.60

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Solution

The fourth proportional to 304,051.20, 419,587.84 and 168,093.60 is: 231,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,051.20 : 419,587.84 = 168,093.60 : x
  2. Step 2: Convert to fraction form
    304,051.20/419,587.84 = 168,093.60/x
  3. Step 3: Cross multiply
    304,051.20x = 419,587.84 × 168,093.60
  4. Step 4: Simplify right side
    304,051.20x = 70,530,030,541.82
  5. Step 5: Solve for x
    x = 70,530,030,541.82/304,051.20
  6. Step 6: Final answer
    x = 231,967.61

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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.