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Finding the Fourth Proportional to 406,234.13, 560,596.23 and 224,942.17

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Solution

The fourth proportional to 406,234.13, 560,596.23 and 224,942.17 is: 310,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,234.13 : 560,596.23 = 224,942.17 : x
  2. Step 2: Convert to fraction form
    406,234.13/560,596.23 = 224,942.17/x
  3. Step 3: Cross multiply
    406,234.13x = 560,596.23 × 224,942.17
  4. Step 4: Simplify right side
    406,234.13x = 126,101,732,470.02
  5. Step 5: Solve for x
    x = 126,101,732,470.02/406,234.13
  6. Step 6: Final answer
    x = 310,416.39

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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.