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Finding the Fourth Proportional to 489,910.50, 734,866.30 and 194,422.50

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Solution

The fourth proportional to 489,910.50, 734,866.30 and 194,422.50 is: 291,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,910.50 : 734,866.30 = 194,422.50 : x
  2. Step 2: Convert to fraction form
    489,910.50/734,866.30 = 194,422.50/x
  3. Step 3: Cross multiply
    489,910.50x = 734,866.30 × 194,422.50
  4. Step 4: Simplify right side
    489,910.50x = 142,874,543,211.75
  5. Step 5: Solve for x
    x = 142,874,543,211.75/489,910.50
  6. Step 6: Final answer
    x = 291,633.97

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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.