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Finding the Fourth Proportional to 273,644.50, 410,129.79 and 194,329.30

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Solution

The fourth proportional to 273,644.50, 410,129.79 and 194,329.30 is: 291,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,644.50 : 410,129.79 = 194,329.30 : x
  2. Step 2: Convert to fraction form
    273,644.50/410,129.79 = 194,329.30/x
  3. Step 3: Cross multiply
    273,644.50x = 410,129.79 × 194,329.30
  4. Step 4: Simplify right side
    273,644.50x = 79,700,234,999.85
  5. Step 5: Solve for x
    x = 79,700,234,999.85/273,644.50
  6. Step 6: Final answer
    x = 291,254.66

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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.