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Finding the Fourth Proportional to 367,821.38, 507,640.70 and 206,676.74

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Solution

The fourth proportional to 367,821.38, 507,640.70 and 206,676.74 is: 285,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,821.38 : 507,640.70 = 206,676.74 : x
  2. Step 2: Convert to fraction form
    367,821.38/507,640.70 = 206,676.74/x
  3. Step 3: Cross multiply
    367,821.38x = 507,640.70 × 206,676.74
  4. Step 4: Simplify right side
    367,821.38x = 104,917,524,967.32
  5. Step 5: Solve for x
    x = 104,917,524,967.32/367,821.38
  6. Step 6: Final answer
    x = 285,240.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.