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Finding the Fourth Proportional to 1,093,733.80, 1,640,600.70 and 828,013.30

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Solution

The fourth proportional to 1,093,733.80, 1,640,600.70 and 828,013.30 is: 1,242,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,733.80 : 1,640,600.70 = 828,013.30 : x
  2. Step 2: Convert to fraction form
    1,093,733.80/1,640,600.70 = 828,013.30/x
  3. Step 3: Cross multiply
    1,093,733.80x = 1,640,600.70 × 828,013.30
  4. Step 4: Simplify right side
    1,093,733.80x = 1,358,439,199,589.31
  5. Step 5: Solve for x
    x = 1,358,439,199,589.31/1,093,733.80
  6. Step 6: Final answer
    x = 1,242,019.95

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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.