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Finding the Fourth Proportional to 392,853.08, 542,137.34 and 214,005.08

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Solution

The fourth proportional to 392,853.08, 542,137.34 and 214,005.08 is: 295,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,853.08 : 542,137.34 = 214,005.08 : x
  2. Step 2: Convert to fraction form
    392,853.08/542,137.34 = 214,005.08/x
  3. Step 3: Cross multiply
    392,853.08x = 542,137.34 × 214,005.08
  4. Step 4: Simplify right side
    392,853.08x = 116,020,144,817.69
  5. Step 5: Solve for x
    x = 116,020,144,817.69/392,853.08
  6. Step 6: Final answer
    x = 295,327.06

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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.