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Finding the Fourth Proportional to 392,205.96, 588,317.13 and 111,723.21

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Solution

The fourth proportional to 392,205.96, 588,317.13 and 111,723.21 is: 167,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,205.96 : 588,317.13 = 111,723.21 : x
  2. Step 2: Convert to fraction form
    392,205.96/588,317.13 = 111,723.21/x
  3. Step 3: Cross multiply
    392,205.96x = 588,317.13 × 111,723.21
  4. Step 4: Simplify right side
    392,205.96x = 65,728,678,261.59
  5. Step 5: Solve for x
    x = 65,728,678,261.59/392,205.96
  6. Step 6: Final answer
    x = 167,587.15

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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.