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Finding the Fourth Proportional to 1,294,167.80, 1,941,251.70 and 822,942.20

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Solution

The fourth proportional to 1,294,167.80, 1,941,251.70 and 822,942.20 is: 1,234,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,167.80 : 1,941,251.70 = 822,942.20 : x
  2. Step 2: Convert to fraction form
    1,294,167.80/1,941,251.70 = 822,942.20/x
  3. Step 3: Cross multiply
    1,294,167.80x = 1,941,251.70 × 822,942.20
  4. Step 4: Simplify right side
    1,294,167.80x = 1,597,537,944,751.74
  5. Step 5: Solve for x
    x = 1,597,537,944,751.74/1,294,167.80
  6. Step 6: Final answer
    x = 1,234,413.30

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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.