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Finding the Fourth Proportional to 6,314,821.49, 8,714,446.22 and 3,414,205.49

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Solution

The fourth proportional to 6,314,821.49, 8,714,446.22 and 3,414,205.49 is: 4,711,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,821.49 : 8,714,446.22 = 3,414,205.49 : x
  2. Step 2: Convert to fraction form
    6,314,821.49/8,714,446.22 = 3,414,205.49/x
  3. Step 3: Cross multiply
    6,314,821.49x = 8,714,446.22 × 3,414,205.49
  4. Step 4: Simplify right side
    6,314,821.49x = 29,752,910,091,597.03
  5. Step 5: Solve for x
    x = 29,752,910,091,597.03/6,314,821.49
  6. Step 6: Final answer
    x = 4,711,599.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.