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Finding the Fourth Proportional to 548,864.80, 823,297.20 and 194,279.20

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Solution

The fourth proportional to 548,864.80, 823,297.20 and 194,279.20 is: 291,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,864.80 : 823,297.20 = 194,279.20 : x
  2. Step 2: Convert to fraction form
    548,864.80/823,297.20 = 194,279.20/x
  3. Step 3: Cross multiply
    548,864.80x = 823,297.20 × 194,279.20
  4. Step 4: Simplify right side
    548,864.80x = 159,949,521,378.24
  5. Step 5: Solve for x
    x = 159,949,521,378.24/548,864.80
  6. Step 6: Final answer
    x = 291,418.80

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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.