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Finding the Fourth Proportional to 392,423, 588,640.04 and 111,940.25

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Solution

The fourth proportional to 392,423, 588,640.04 and 111,940.25 is: 167,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,423 : 588,640.04 = 111,940.25 : x
  2. Step 2: Convert to fraction form
    392,423/588,640.04 = 111,940.25/x
  3. Step 3: Cross multiply
    392,423x = 588,640.04 × 111,940.25
  4. Step 4: Simplify right side
    392,423x = 65,892,513,237.61
  5. Step 5: Solve for x
    x = 65,892,513,237.61/392,423
  6. Step 6: Final answer
    x = 167,911.96

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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.