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Finding the Fourth Proportional to 682,713.30, 957,198.30 and 682,713.30

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Solution

The fourth proportional to 682,713.30, 957,198.30 and 682,713.30 is: 957,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,713.30 : 957,198.30 = 682,713.30 : x
  2. Step 2: Convert to fraction form
    682,713.30/957,198.30 = 682,713.30/x
  3. Step 3: Cross multiply
    682,713.30x = 957,198.30 × 682,713.30
  4. Step 4: Simplify right side
    682,713.30x = 653,492,010,147.39
  5. Step 5: Solve for x
    x = 653,492,010,147.39/682,713.30
  6. Step 6: Final answer
    x = 957,198.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.