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Finding the Fourth Proportional to 406,234.26, 560,596.32 and 224,942.28

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Solution

The fourth proportional to 406,234.26, 560,596.32 and 224,942.28 is: 310,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,234.26 : 560,596.32 = 224,942.28 : x
  2. Step 2: Convert to fraction form
    406,234.26/560,596.32 = 224,942.28/x
  3. Step 3: Cross multiply
    406,234.26x = 560,596.32 × 224,942.28
  4. Step 4: Simplify right side
    406,234.26x = 126,101,814,380.41
  5. Step 5: Solve for x
    x = 126,101,814,380.41/406,234.26
  6. Step 6: Final answer
    x = 310,416.49

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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.