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Finding the Fourth Proportional to 409,679.46, 614,519.19 and 129,218.58

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Solution

The fourth proportional to 409,679.46, 614,519.19 and 129,218.58 is: 193,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,679.46 : 614,519.19 = 129,218.58 : x
  2. Step 2: Convert to fraction form
    409,679.46/614,519.19 = 129,218.58/x
  3. Step 3: Cross multiply
    409,679.46x = 614,519.19 × 129,218.58
  4. Step 4: Simplify right side
    409,679.46x = 79,407,297,114.55
  5. Step 5: Solve for x
    x = 79,407,297,114.55/409,679.46
  6. Step 6: Final answer
    x = 193,827.87

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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.