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Finding the Fourth Proportional to 481,381.74, 722,172.24 and 144,408.78

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Solution

The fourth proportional to 481,381.74, 722,172.24 and 144,408.78 is: 216,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,381.74 : 722,172.24 = 144,408.78 : x
  2. Step 2: Convert to fraction form
    481,381.74/722,172.24 = 144,408.78/x
  3. Step 3: Cross multiply
    481,381.74x = 722,172.24 × 144,408.78
  4. Step 4: Simplify right side
    481,381.74x = 104,288,012,128.27
  5. Step 5: Solve for x
    x = 104,288,012,128.27/481,381.74
  6. Step 6: Final answer
    x = 216,643.06

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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.