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Finding the Fourth Proportional to 393,048, 542,406.78 and 214,200

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Solution

The fourth proportional to 393,048, 542,406.78 and 214,200 is: 295,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,048 : 542,406.78 = 214,200 : x
  2. Step 2: Convert to fraction form
    393,048/542,406.78 = 214,200/x
  3. Step 3: Cross multiply
    393,048x = 542,406.78 × 214,200
  4. Step 4: Simplify right side
    393,048x = 116,183,532,276
  5. Step 5: Solve for x
    x = 116,183,532,276/393,048
  6. Step 6: Final answer
    x = 295,596.29

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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.