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Finding the Fourth Proportional to 305,226.38, 421,234.00 and 169,273.35

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Solution

The fourth proportional to 305,226.38, 421,234.00 and 169,273.35 is: 233,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,226.38 : 421,234.00 = 169,273.35 : x
  2. Step 2: Convert to fraction form
    305,226.38/421,234.00 = 169,273.35/x
  3. Step 3: Cross multiply
    305,226.38x = 421,234.00 × 169,273.35
  4. Step 4: Simplify right side
    305,226.38x = 71,303,689,890.72
  5. Step 5: Solve for x
    x = 71,303,689,890.72/305,226.38
  6. Step 6: Final answer
    x = 233,609.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.