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Finding the Fourth Proportional to 491,299.52, 737,346.48 and 254,709.86

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Solution

The fourth proportional to 491,299.52, 737,346.48 and 254,709.86 is: 382,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,299.52 : 737,346.48 = 254,709.86 : x
  2. Step 2: Convert to fraction form
    491,299.52/737,346.48 = 254,709.86/x
  3. Step 3: Cross multiply
    491,299.52x = 737,346.48 × 254,709.86
  4. Step 4: Simplify right side
    491,299.52x = 187,809,418,692.29
  5. Step 5: Solve for x
    x = 187,809,418,692.29/491,299.52
  6. Step 6: Final answer
    x = 382,270.71

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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.