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Finding the Fourth Proportional to 397,099, 595,648.50 and 101,611

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Solution

The fourth proportional to 397,099, 595,648.50 and 101,611 is: 152,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,099 : 595,648.50 = 101,611 : x
  2. Step 2: Convert to fraction form
    397,099/595,648.50 = 101,611/x
  3. Step 3: Cross multiply
    397,099x = 595,648.50 × 101,611
  4. Step 4: Simplify right side
    397,099x = 60,524,439,733.50
  5. Step 5: Solve for x
    x = 60,524,439,733.50/397,099
  6. Step 6: Final answer
    x = 152,416.50

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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.