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Finding the Fourth Proportional to 1,295,195.70, 1,942,793.55 and 822,803.70

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Solution

The fourth proportional to 1,295,195.70, 1,942,793.55 and 822,803.70 is: 1,234,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,195.70 : 1,942,793.55 = 822,803.70 : x
  2. Step 2: Convert to fraction form
    1,295,195.70/1,942,793.55 = 822,803.70/x
  3. Step 3: Cross multiply
    1,295,195.70x = 1,942,793.55 × 822,803.70
  4. Step 4: Simplify right side
    1,295,195.70x = 1,598,537,721,276.14
  5. Step 5: Solve for x
    x = 1,598,537,721,276.14/1,295,195.70
  6. Step 6: Final answer
    x = 1,234,205.55

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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.