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Finding the Fourth Proportional to 265,174.34, 397,236.62 and 231,931.94

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Solution

The fourth proportional to 265,174.34, 397,236.62 and 231,931.94 is: 347,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,174.34 : 397,236.62 = 231,931.94 : x
  2. Step 2: Convert to fraction form
    265,174.34/397,236.62 = 231,931.94/x
  3. Step 3: Cross multiply
    265,174.34x = 397,236.62 × 231,931.94
  4. Step 4: Simplify right side
    265,174.34x = 92,131,858,509.29
  5. Step 5: Solve for x
    x = 92,131,858,509.29/265,174.34
  6. Step 6: Final answer
    x = 347,438.82

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Why These Related Problems?

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