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Finding the Fourth Proportional to 2,100,162, 3,150,243 and 604,254

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Solution

The fourth proportional to 2,100,162, 3,150,243 and 604,254 is: 906,381

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,162 : 3,150,243 = 604,254 : x
  2. Step 2: Convert to fraction form
    2,100,162/3,150,243 = 604,254/x
  3. Step 3: Cross multiply
    2,100,162x = 3,150,243 × 604,254
  4. Step 4: Simplify right side
    2,100,162x = 1,903,546,933,722
  5. Step 5: Solve for x
    x = 1,903,546,933,722/2,100,162
  6. Step 6: Final answer
    x = 906,381

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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.