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Finding the Fourth Proportional to 412,081.75, 620,930.63 and 338,842.63

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Solution

The fourth proportional to 412,081.75, 620,930.63 and 338,842.63 is: 510,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,081.75 : 620,930.63 = 338,842.63 : x
  2. Step 2: Convert to fraction form
    412,081.75/620,930.63 = 338,842.63/x
  3. Step 3: Cross multiply
    412,081.75x = 620,930.63 × 338,842.63
  4. Step 4: Simplify right side
    412,081.75x = 210,397,767,716.76
  5. Step 5: Solve for x
    x = 210,397,767,716.76/412,081.75
  6. Step 6: Final answer
    x = 510,572.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.