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Finding the Fourth Proportional to 1,946,676, 2,920,014 and 616,980

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Solution

The fourth proportional to 1,946,676, 2,920,014 and 616,980 is: 925,470

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,676 : 2,920,014 = 616,980 : x
  2. Step 2: Convert to fraction form
    1,946,676/2,920,014 = 616,980/x
  3. Step 3: Cross multiply
    1,946,676x = 2,920,014 × 616,980
  4. Step 4: Simplify right side
    1,946,676x = 1,801,590,237,720
  5. Step 5: Solve for x
    x = 1,801,590,237,720/1,946,676
  6. Step 6: Final answer
    x = 925,470

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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.