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Finding the Fourth Proportional to 405,521.37, 559,613.67 and 224,229.33

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Solution

The fourth proportional to 405,521.37, 559,613.67 and 224,229.33 is: 309,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,521.37 : 559,613.67 = 224,229.33 : x
  2. Step 2: Convert to fraction form
    405,521.37/559,613.67 = 224,229.33/x
  3. Step 3: Cross multiply
    405,521.37x = 559,613.67 × 224,229.33
  4. Step 4: Simplify right side
    405,521.37x = 125,481,798,282.94
  5. Step 5: Solve for x
    x = 125,481,798,282.94/405,521.37
  6. Step 6: Final answer
    x = 309,433.26

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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.