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Finding the Fourth Proportional to 489,273.80, 733,910.70 and 208,819.40

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Solution

The fourth proportional to 489,273.80, 733,910.70 and 208,819.40 is: 313,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,273.80 : 733,910.70 = 208,819.40 : x
  2. Step 2: Convert to fraction form
    489,273.80/733,910.70 = 208,819.40/x
  3. Step 3: Cross multiply
    489,273.80x = 733,910.70 × 208,819.40
  4. Step 4: Simplify right side
    489,273.80x = 153,254,792,027.58
  5. Step 5: Solve for x
    x = 153,254,792,027.58/489,273.80
  6. Step 6: Final answer
    x = 313,229.10

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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.