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Finding the Fourth Proportional to 397,098, 595,647 and 101,610

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Solution

The fourth proportional to 397,098, 595,647 and 101,610 is: 152,415

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,098 : 595,647 = 101,610 : x
  2. Step 2: Convert to fraction form
    397,098/595,647 = 101,610/x
  3. Step 3: Cross multiply
    397,098x = 595,647 × 101,610
  4. Step 4: Simplify right side
    397,098x = 60,523,691,670
  5. Step 5: Solve for x
    x = 60,523,691,670/397,098
  6. Step 6: Final answer
    x = 152,415

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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.