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Finding the Fourth Proportional to 324,768.80, 487,142.22 and 114,401.24

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Solution

The fourth proportional to 324,768.80, 487,142.22 and 114,401.24 is: 171,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,768.80 : 487,142.22 = 114,401.24 : x
  2. Step 2: Convert to fraction form
    324,768.80/487,142.22 = 114,401.24/x
  3. Step 3: Cross multiply
    324,768.80x = 487,142.22 × 114,401.24
  4. Step 4: Simplify right side
    324,768.80x = 55,729,674,024.35
  5. Step 5: Solve for x
    x = 55,729,674,024.35/324,768.80
  6. Step 6: Final answer
    x = 171,597.99

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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.