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Finding the Fourth Proportional to 392,196.32, 588,177.60 and 142,820

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Solution

The fourth proportional to 392,196.32, 588,177.60 and 142,820 is: 214,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,196.32 : 588,177.60 = 142,820 : x
  2. Step 2: Convert to fraction form
    392,196.32/588,177.60 = 142,820/x
  3. Step 3: Cross multiply
    392,196.32x = 588,177.60 × 142,820
  4. Step 4: Simplify right side
    392,196.32x = 84,003,524,832
  5. Step 5: Solve for x
    x = 84,003,524,832/392,196.32
  6. Step 6: Final answer
    x = 214,187.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.