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Finding the Fourth Proportional to 264,857.70, 397,286.55 and 235,827.30

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Solution

The fourth proportional to 264,857.70, 397,286.55 and 235,827.30 is: 353,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,857.70 : 397,286.55 = 235,827.30 : x
  2. Step 2: Convert to fraction form
    264,857.70/397,286.55 = 235,827.30/x
  3. Step 3: Cross multiply
    264,857.70x = 397,286.55 × 235,827.30
  4. Step 4: Simplify right side
    264,857.70x = 93,691,014,412.82
  5. Step 5: Solve for x
    x = 93,691,014,412.82/264,857.70
  6. Step 6: Final answer
    x = 353,740.95

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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.