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Finding the Fourth Proportional to 439,096, 658,645.62 and 106,672

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Solution

The fourth proportional to 439,096, 658,645.62 and 106,672 is: 160,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,096 : 658,645.62 = 106,672 : x
  2. Step 2: Convert to fraction form
    439,096/658,645.62 = 106,672/x
  3. Step 3: Cross multiply
    439,096x = 658,645.62 × 106,672
  4. Step 4: Simplify right side
    439,096x = 70,259,045,576.64
  5. Step 5: Solve for x
    x = 70,259,045,576.64/439,096
  6. Step 6: Final answer
    x = 160,008.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.