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Finding the Fourth Proportional to 337,100.85, 506,234.48 and 219,294.45

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Solution

The fourth proportional to 337,100.85, 506,234.48 and 219,294.45 is: 329,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,100.85 : 506,234.48 = 219,294.45 : x
  2. Step 2: Convert to fraction form
    337,100.85/506,234.48 = 219,294.45/x
  3. Step 3: Cross multiply
    337,100.85x = 506,234.48 × 219,294.45
  4. Step 4: Simplify right side
    337,100.85x = 111,014,410,766.16
  5. Step 5: Solve for x
    x = 111,014,410,766.16/337,100.85
  6. Step 6: Final answer
    x = 329,321.06

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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.