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Finding the Fourth Proportional to 405,321.30, 559,345.62 and 221,560.15

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Solution

The fourth proportional to 405,321.30, 559,345.62 and 221,560.15 is: 305,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,321.30 : 559,345.62 = 221,560.15 : x
  2. Step 2: Convert to fraction form
    405,321.30/559,345.62 = 221,560.15/x
  3. Step 3: Cross multiply
    405,321.30x = 559,345.62 × 221,560.15
  4. Step 4: Simplify right side
    405,321.30x = 123,928,699,469.04
  5. Step 5: Solve for x
    x = 123,928,699,469.04/405,321.30
  6. Step 6: Final answer
    x = 305,754.22

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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.