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Finding the Fourth Proportional to 410,196.90, 614,311.20 and 199,588.80

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Solution

The fourth proportional to 410,196.90, 614,311.20 and 199,588.80 is: 298,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,196.90 : 614,311.20 = 199,588.80 : x
  2. Step 2: Convert to fraction form
    410,196.90/614,311.20 = 199,588.80/x
  3. Step 3: Cross multiply
    410,196.90x = 614,311.20 × 199,588.80
  4. Step 4: Simplify right side
    410,196.90x = 122,609,635,234.56
  5. Step 5: Solve for x
    x = 122,609,635,234.56/410,196.90
  6. Step 6: Final answer
    x = 298,904.34

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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.