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Finding the Fourth Proportional to 1,093,739.80, 1,640,609.70 and 828,019.30

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Solution

The fourth proportional to 1,093,739.80, 1,640,609.70 and 828,019.30 is: 1,242,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,739.80 : 1,640,609.70 = 828,019.30 : x
  2. Step 2: Convert to fraction form
    1,093,739.80/1,640,609.70 = 828,019.30/x
  3. Step 3: Cross multiply
    1,093,739.80x = 1,640,609.70 × 828,019.30
  4. Step 4: Simplify right side
    1,093,739.80x = 1,358,456,495,367.21
  5. Step 5: Solve for x
    x = 1,358,456,495,367.21/1,093,739.80
  6. Step 6: Final answer
    x = 1,242,028.95

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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.