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Finding the Fourth Proportional to 332,478.76, 499,456.33 and 206,212.36

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Solution

The fourth proportional to 332,478.76, 499,456.33 and 206,212.36 is: 309,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,478.76 : 499,456.33 = 206,212.36 : x
  2. Step 2: Convert to fraction form
    332,478.76/499,456.33 = 206,212.36/x
  3. Step 3: Cross multiply
    332,478.76x = 499,456.33 × 206,212.36
  4. Step 4: Simplify right side
    332,478.76x = 102,994,067,495.18
  5. Step 5: Solve for x
    x = 102,994,067,495.18/332,478.76
  6. Step 6: Final answer
    x = 309,776.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.