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Finding the Fourth Proportional to 397,429.36, 596,203.32 and 131,218

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Solution

The fourth proportional to 397,429.36, 596,203.32 and 131,218 is: 196,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,429.36 : 596,203.32 = 131,218 : x
  2. Step 2: Convert to fraction form
    397,429.36/596,203.32 = 131,218/x
  3. Step 3: Cross multiply
    397,429.36x = 596,203.32 × 131,218
  4. Step 4: Simplify right side
    397,429.36x = 78,232,607,243.76
  5. Step 5: Solve for x
    x = 78,232,607,243.76/397,429.36
  6. Step 6: Final answer
    x = 196,846.57

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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.