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Finding the Fourth Proportional to 489,170.80, 733,756.20 and 209,234.80

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Solution

The fourth proportional to 489,170.80, 733,756.20 and 209,234.80 is: 313,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,170.80 : 733,756.20 = 209,234.80 : x
  2. Step 2: Convert to fraction form
    489,170.80/733,756.20 = 209,234.80/x
  3. Step 3: Cross multiply
    489,170.80x = 733,756.20 × 209,234.80
  4. Step 4: Simplify right side
    489,170.80x = 153,527,331,755.76
  5. Step 5: Solve for x
    x = 153,527,331,755.76/489,170.80
  6. Step 6: Final answer
    x = 313,852.20

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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.