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Finding the Fourth Proportional to 311,885.12, 430,401.17 and 168,644.82

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Solution

The fourth proportional to 311,885.12, 430,401.17 and 168,644.82 is: 232,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,885.12 : 430,401.17 = 168,644.82 : x
  2. Step 2: Convert to fraction form
    311,885.12/430,401.17 = 168,644.82/x
  3. Step 3: Cross multiply
    311,885.12x = 430,401.17 × 168,644.82
  4. Step 4: Simplify right side
    311,885.12x = 72,584,929,034.83
  5. Step 5: Solve for x
    x = 72,584,929,034.83/311,885.12
  6. Step 6: Final answer
    x = 232,729.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.