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Finding the Fourth Proportional to 405,481.34, 559,540.31 and 224,179.04

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Solution

The fourth proportional to 405,481.34, 559,540.31 and 224,179.04 is: 309,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,481.34 : 559,540.31 = 224,179.04 : x
  2. Step 2: Convert to fraction form
    405,481.34/559,540.31 = 224,179.04/x
  3. Step 3: Cross multiply
    405,481.34x = 559,540.31 × 224,179.04
  4. Step 4: Simplify right side
    405,481.34x = 125,437,209,815.06
  5. Step 5: Solve for x
    x = 125,437,209,815.06/405,481.34
  6. Step 6: Final answer
    x = 309,353.84

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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.