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Finding the Fourth Proportional to 2,180,199, 3,270,327.66 and 684,291

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Solution

The fourth proportional to 2,180,199, 3,270,327.66 and 684,291 is: 1,026,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,199 : 3,270,327.66 = 684,291 : x
  2. Step 2: Convert to fraction form
    2,180,199/3,270,327.66 = 684,291/x
  3. Step 3: Cross multiply
    2,180,199x = 3,270,327.66 × 684,291
  4. Step 4: Simplify right side
    2,180,199x = 2,237,855,784,789.06
  5. Step 5: Solve for x
    x = 2,237,855,784,789.06/2,180,199
  6. Step 6: Final answer
    x = 1,026,445.65

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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.