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Finding the Fourth Proportional to 393,105.28, 542,500.32 and 214,257.28

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Solution

The fourth proportional to 393,105.28, 542,500.32 and 214,257.28 is: 295,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,105.28 : 542,500.32 = 214,257.28 : x
  2. Step 2: Convert to fraction form
    393,105.28/542,500.32 = 214,257.28/x
  3. Step 3: Cross multiply
    393,105.28x = 542,500.32 × 214,257.28
  4. Step 4: Simplify right side
    393,105.28x = 116,234,642,962.33
  5. Step 5: Solve for x
    x = 116,234,642,962.33/393,105.28
  6. Step 6: Final answer
    x = 295,683.24

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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.