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Finding the Fourth Proportional to 405,245.33, 559,223.44 and 233,189.87

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Solution

The fourth proportional to 405,245.33, 559,223.44 and 233,189.87 is: 321,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,245.33 : 559,223.44 = 233,189.87 : x
  2. Step 2: Convert to fraction form
    405,245.33/559,223.44 = 233,189.87/x
  3. Step 3: Cross multiply
    405,245.33x = 559,223.44 × 233,189.87
  4. Step 4: Simplify right side
    405,245.33x = 130,405,237,895.46
  5. Step 5: Solve for x
    x = 130,405,237,895.46/405,245.33
  6. Step 6: Final answer
    x = 321,793.31

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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.