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Finding the Fourth Proportional to 337,229.10, 505,762.65 and 194,766.30

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Solution

The fourth proportional to 337,229.10, 505,762.65 and 194,766.30 is: 292,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,229.10 : 505,762.65 = 194,766.30 : x
  2. Step 2: Convert to fraction form
    337,229.10/505,762.65 = 194,766.30/x
  3. Step 3: Cross multiply
    337,229.10x = 505,762.65 × 194,766.30
  4. Step 4: Simplify right side
    337,229.10x = 98,505,520,018.70
  5. Step 5: Solve for x
    x = 98,505,520,018.70/337,229.10
  6. Step 6: Final answer
    x = 292,102.67

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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.