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Finding the Fourth Proportional to 405,371.73, 559,404.74 and 224,091.30

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Solution

The fourth proportional to 405,371.73, 559,404.74 and 224,091.30 is: 309,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,371.73 : 559,404.74 = 224,091.30 : x
  2. Step 2: Convert to fraction form
    405,371.73/559,404.74 = 224,091.30/x
  3. Step 3: Cross multiply
    405,371.73x = 559,404.74 × 224,091.30
  4. Step 4: Simplify right side
    405,371.73x = 125,357,734,292.31
  5. Step 5: Solve for x
    x = 125,357,734,292.31/405,371.73
  6. Step 6: Final answer
    x = 309,241.43

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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.