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Finding the Fourth Proportional to 492,584.82, 737,544.63 and 255,428.97

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Solution

The fourth proportional to 492,584.82, 737,544.63 and 255,428.97 is: 382,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,584.82 : 737,544.63 = 255,428.97 : x
  2. Step 2: Convert to fraction form
    492,584.82/737,544.63 = 255,428.97/x
  3. Step 3: Cross multiply
    492,584.82x = 737,544.63 × 255,428.97
  4. Step 4: Simplify right side
    492,584.82x = 188,390,265,169.93
  5. Step 5: Solve for x
    x = 188,390,265,169.93/492,584.82
  6. Step 6: Final answer
    x = 382,452.44

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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.