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Finding the Fourth Proportional to 979,974, 1,469,961 and 315,126

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Solution

The fourth proportional to 979,974, 1,469,961 and 315,126 is: 472,689

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,974 : 1,469,961 = 315,126 : x
  2. Step 2: Convert to fraction form
    979,974/1,469,961 = 315,126/x
  3. Step 3: Cross multiply
    979,974x = 1,469,961 × 315,126
  4. Step 4: Simplify right side
    979,974x = 463,222,930,086
  5. Step 5: Solve for x
    x = 463,222,930,086/979,974
  6. Step 6: Final answer
    x = 472,689

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.