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Finding the Fourth Proportional to 569,414.70, 854,450.10 and 214,683.30

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Solution

The fourth proportional to 569,414.70, 854,450.10 and 214,683.30 is: 322,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,414.70 : 854,450.10 = 214,683.30 : x
  2. Step 2: Convert to fraction form
    569,414.70/854,450.10 = 214,683.30/x
  3. Step 3: Cross multiply
    569,414.70x = 854,450.10 × 214,683.30
  4. Step 4: Simplify right side
    569,414.70x = 183,436,167,153.33
  5. Step 5: Solve for x
    x = 183,436,167,153.33/569,414.70
  6. Step 6: Final answer
    x = 322,148.63

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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.