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Finding the Fourth Proportional to 420,912.39, 580,837.38 and 229,888.88

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Solution

The fourth proportional to 420,912.39, 580,837.38 and 229,888.88 is: 317,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,912.39 : 580,837.38 = 229,888.88 : x
  2. Step 2: Convert to fraction form
    420,912.39/580,837.38 = 229,888.88/x
  3. Step 3: Cross multiply
    420,912.39x = 580,837.38 × 229,888.88
  4. Step 4: Simplify right side
    420,912.39x = 133,528,051,846.15
  5. Step 5: Solve for x
    x = 133,528,051,846.15/420,912.39
  6. Step 6: Final answer
    x = 317,234.79

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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.