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Finding the Fourth Proportional to 206,422.80, 288,642 and 206,422.80

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Solution

The fourth proportional to 206,422.80, 288,642 and 206,422.80 is: 288,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.80 : 288,642 = 206,422.80 : x
  2. Step 2: Convert to fraction form
    206,422.80/288,642 = 206,422.80/x
  3. Step 3: Cross multiply
    206,422.80x = 288,642 × 206,422.80
  4. Step 4: Simplify right side
    206,422.80x = 59,582,289,837.60
  5. Step 5: Solve for x
    x = 59,582,289,837.60/206,422.80
  6. Step 6: Final answer
    x = 288,642

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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.