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Finding the Fourth Proportional to 397,596.45, 596,512.23 and 229,237.56

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Solution

The fourth proportional to 397,596.45, 596,512.23 and 229,237.56 is: 343,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,596.45 : 596,512.23 = 229,237.56 : x
  2. Step 2: Convert to fraction form
    397,596.45/596,512.23 = 229,237.56/x
  3. Step 3: Cross multiply
    397,596.45x = 596,512.23 × 229,237.56
  4. Step 4: Simplify right side
    397,596.45x = 136,743,008,115.36
  5. Step 5: Solve for x
    x = 136,743,008,115.36/397,596.45
  6. Step 6: Final answer
    x = 343,924.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.