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Finding the Fourth Proportional to 324,676.80, 447,763.88 and 203,829.32

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Solution

The fourth proportional to 324,676.80, 447,763.88 and 203,829.32 is: 281,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,676.80 : 447,763.88 = 203,829.32 : x
  2. Step 2: Convert to fraction form
    324,676.80/447,763.88 = 203,829.32/x
  3. Step 3: Cross multiply
    324,676.80x = 447,763.88 × 203,829.32
  4. Step 4: Simplify right side
    324,676.80x = 91,267,408,809.94
  5. Step 5: Solve for x
    x = 91,267,408,809.94/324,676.80
  6. Step 6: Final answer
    x = 281,102.34

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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.