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Finding the Fourth Proportional to 513,942.14, 709,231.57 and 284,494.57

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Solution

The fourth proportional to 513,942.14, 709,231.57 and 284,494.57 is: 392,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942.14 : 709,231.57 = 284,494.57 : x
  2. Step 2: Convert to fraction form
    513,942.14/709,231.57 = 284,494.57/x
  3. Step 3: Cross multiply
    513,942.14x = 709,231.57 × 284,494.57
  4. Step 4: Simplify right side
    513,942.14x = 201,772,530,537.58
  5. Step 5: Solve for x
    x = 201,772,530,537.58/513,942.14
  6. Step 6: Final answer
    x = 392,597.76

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