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Finding the Fourth Proportional to 324,102.92, 447,190.62 and 188,058.04

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Solution

The fourth proportional to 324,102.92, 447,190.62 and 188,058.04 is: 259,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,102.92 : 447,190.62 = 188,058.04 : x
  2. Step 2: Convert to fraction form
    324,102.92/447,190.62 = 188,058.04/x
  3. Step 3: Cross multiply
    324,102.92x = 447,190.62 × 188,058.04
  4. Step 4: Simplify right side
    324,102.92x = 84,097,791,503.58
  5. Step 5: Solve for x
    x = 84,097,791,503.58/324,102.92
  6. Step 6: Final answer
    x = 259,478.66

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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.