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Finding the Fourth Proportional to 313,752.80, 470,337.60 and 218,982.80

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Solution

The fourth proportional to 313,752.80, 470,337.60 and 218,982.80 is: 328,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,752.80 : 470,337.60 = 218,982.80 : x
  2. Step 2: Convert to fraction form
    313,752.80/470,337.60 = 218,982.80/x
  3. Step 3: Cross multiply
    313,752.80x = 470,337.60 × 218,982.80
  4. Step 4: Simplify right side
    313,752.80x = 102,995,844,593.28
  5. Step 5: Solve for x
    x = 102,995,844,593.28/313,752.80
  6. Step 6: Final answer
    x = 328,270.68

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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.