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Finding the Fourth Proportional to 1,295,895.40, 1,943,843.10 and 822,920.20

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Solution

The fourth proportional to 1,295,895.40, 1,943,843.10 and 822,920.20 is: 1,234,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,895.40 : 1,943,843.10 = 822,920.20 : x
  2. Step 2: Convert to fraction form
    1,295,895.40/1,943,843.10 = 822,920.20/x
  3. Step 3: Cross multiply
    1,295,895.40x = 1,943,843.10 × 822,920.20
  4. Step 4: Simplify right side
    1,295,895.40x = 1,599,627,752,620.62
  5. Step 5: Solve for x
    x = 1,599,627,752,620.62/1,295,895.40
  6. Step 6: Final answer
    x = 1,234,380.30

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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.