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Finding the Fourth Proportional to 405,009.14, 558,906.79 and 221,245.48

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Solution

The fourth proportional to 405,009.14, 558,906.79 and 221,245.48 is: 305,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,009.14 : 558,906.79 = 221,245.48 : x
  2. Step 2: Convert to fraction form
    405,009.14/558,906.79 = 221,245.48/x
  3. Step 3: Cross multiply
    405,009.14x = 558,906.79 × 221,245.48
  4. Step 4: Simplify right side
    405,009.14x = 123,655,601,028.81
  5. Step 5: Solve for x
    x = 123,655,601,028.81/405,009.14
  6. Step 6: Final answer
    x = 305,315.58

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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.