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Finding the Fourth Proportional to 405,321.10, 559,344.88 and 221,563.42

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Solution

The fourth proportional to 405,321.10, 559,344.88 and 221,563.42 is: 305,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,321.10 : 559,344.88 = 221,563.42 : x
  2. Step 2: Convert to fraction form
    405,321.10/559,344.88 = 221,563.42/x
  3. Step 3: Cross multiply
    405,321.10x = 559,344.88 × 221,563.42
  4. Step 4: Simplify right side
    405,321.10x = 123,930,364,572.29
  5. Step 5: Solve for x
    x = 123,930,364,572.29/405,321.10
  6. Step 6: Final answer
    x = 305,758.48

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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.