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Finding the Fourth Proportional to 1,946,678, 2,920,017 and 616,982

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Solution

The fourth proportional to 1,946,678, 2,920,017 and 616,982 is: 925,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,678 : 2,920,017 = 616,982 : x
  2. Step 2: Convert to fraction form
    1,946,678/2,920,017 = 616,982/x
  3. Step 3: Cross multiply
    1,946,678x = 2,920,017 × 616,982
  4. Step 4: Simplify right side
    1,946,678x = 1,801,597,928,694
  5. Step 5: Solve for x
    x = 1,801,597,928,694/1,946,678
  6. Step 6: Final answer
    x = 925,473

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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.