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Finding the Fourth Proportional to 405,939.24, 560,197.22 and 224,663.67

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Solution

The fourth proportional to 405,939.24, 560,197.22 and 224,663.67 is: 310,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,939.24 : 560,197.22 = 224,663.67 : x
  2. Step 2: Convert to fraction form
    405,939.24/560,197.22 = 224,663.67/x
  3. Step 3: Cross multiply
    405,939.24x = 560,197.22 × 224,663.67
  4. Step 4: Simplify right side
    405,939.24x = 125,855,962,245.68
  5. Step 5: Solve for x
    x = 125,855,962,245.68/405,939.24
  6. Step 6: Final answer
    x = 310,036.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.