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Finding the Fourth Proportional to 273,384.60, 410,514.30 and 206,899.80

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Solution

The fourth proportional to 273,384.60, 410,514.30 and 206,899.80 is: 310,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,384.60 : 410,514.30 = 206,899.80 : x
  2. Step 2: Convert to fraction form
    273,384.60/410,514.30 = 206,899.80/x
  3. Step 3: Cross multiply
    273,384.60x = 410,514.30 × 206,899.80
  4. Step 4: Simplify right side
    273,384.60x = 84,935,326,567.14
  5. Step 5: Solve for x
    x = 84,935,326,567.14/273,384.60
  6. Step 6: Final answer
    x = 310,680.73

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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.