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Finding the Fourth Proportional to 206,334.88, 309,481.57 and 56,590.23

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Solution

The fourth proportional to 206,334.88, 309,481.57 and 56,590.23 is: 84,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,334.88 : 309,481.57 = 56,590.23 : x
  2. Step 2: Convert to fraction form
    206,334.88/309,481.57 = 56,590.23/x
  3. Step 3: Cross multiply
    206,334.88x = 309,481.57 × 56,590.23
  4. Step 4: Simplify right side
    206,334.88x = 17,513,633,227.06
  5. Step 5: Solve for x
    x = 17,513,633,227.06/206,334.88
  6. Step 6: Final answer
    x = 84,879.65

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1.5x scale

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.