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Finding the Fourth Proportional to 406,234.51, 560,596.77 and 224,942.54

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Solution

The fourth proportional to 406,234.51, 560,596.77 and 224,942.54 is: 310,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,234.51 : 560,596.77 = 224,942.54 : x
  2. Step 2: Convert to fraction form
    406,234.51/560,596.77 = 224,942.54/x
  3. Step 3: Cross multiply
    406,234.51x = 560,596.77 × 224,942.54
  4. Step 4: Simplify right side
    406,234.51x = 126,102,060,234.88
  5. Step 5: Solve for x
    x = 126,102,060,234.88/406,234.51
  6. Step 6: Final answer
    x = 310,416.91

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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.