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Finding the Fourth Proportional to 392,951, 542,272.41 and 214,103

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Solution

The fourth proportional to 392,951, 542,272.41 and 214,103 is: 295,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,951 : 542,272.41 = 214,103 : x
  2. Step 2: Convert to fraction form
    392,951/542,272.41 = 214,103/x
  3. Step 3: Cross multiply
    392,951x = 542,272.41 × 214,103
  4. Step 4: Simplify right side
    392,951x = 116,102,149,798.23
  5. Step 5: Solve for x
    x = 116,102,149,798.23/392,951
  6. Step 6: Final answer
    x = 295,462.16

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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.