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Finding the Fourth Proportional to 454,717.62, 682,076.43 and 201,938.67

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Solution

The fourth proportional to 454,717.62, 682,076.43 and 201,938.67 is: 302,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,717.62 : 682,076.43 = 201,938.67 : x
  2. Step 2: Convert to fraction form
    454,717.62/682,076.43 = 201,938.67/x
  3. Step 3: Cross multiply
    454,717.62x = 682,076.43 × 201,938.67
  4. Step 4: Simplify right side
    454,717.62x = 137,737,607,112.55
  5. Step 5: Solve for x
    x = 137,737,607,112.55/454,717.62
  6. Step 6: Final answer
    x = 302,908.01

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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.