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Finding the Fourth Proportional to 392,420.50, 588,636.29 and 111,937.75

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Solution

The fourth proportional to 392,420.50, 588,636.29 and 111,937.75 is: 167,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,420.50 : 588,636.29 = 111,937.75 : x
  2. Step 2: Convert to fraction form
    392,420.50/588,636.29 = 111,937.75/x
  3. Step 3: Cross multiply
    392,420.50x = 588,636.29 × 111,937.75
  4. Step 4: Simplify right side
    392,420.50x = 65,890,621,870.95
  5. Step 5: Solve for x
    x = 65,890,621,870.95/392,420.50
  6. Step 6: Final answer
    x = 167,908.21

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Why These Related Problems?

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