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Finding the Fourth Proportional to 406,460.45, 560,949.88 and 225,229.23

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Solution

The fourth proportional to 406,460.45, 560,949.88 and 225,229.23 is: 310,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,460.45 : 560,949.88 = 225,229.23 : x
  2. Step 2: Convert to fraction form
    406,460.45/560,949.88 = 225,229.23/x
  3. Step 3: Cross multiply
    406,460.45x = 560,949.88 × 225,229.23
  4. Step 4: Simplify right side
    406,460.45x = 126,342,309,540.99
  5. Step 5: Solve for x
    x = 126,342,309,540.99/406,460.45
  6. Step 6: Final answer
    x = 310,835.43

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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.