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Finding the Fourth Proportional to 548,728.94, 823,010.38 and 149,401.20

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Solution

The fourth proportional to 548,728.94, 823,010.38 and 149,401.20 is: 224,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,728.94 : 823,010.38 = 149,401.20 : x
  2. Step 2: Convert to fraction form
    548,728.94/823,010.38 = 149,401.20/x
  3. Step 3: Cross multiply
    548,728.94x = 823,010.38 × 149,401.20
  4. Step 4: Simplify right side
    548,728.94x = 122,958,738,384.46
  5. Step 5: Solve for x
    x = 122,958,738,384.46/548,728.94
  6. Step 6: Final answer
    x = 224,079.19

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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.