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Finding the Fourth Proportional to 683,828.30, 943,719.18 and 411,981.78

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Solution

The fourth proportional to 683,828.30, 943,719.18 and 411,981.78 is: 568,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,828.30 : 943,719.18 = 411,981.78 : x
  2. Step 2: Convert to fraction form
    683,828.30/943,719.18 = 411,981.78/x
  3. Step 3: Cross multiply
    683,828.30x = 943,719.18 × 411,981.78
  4. Step 4: Simplify right side
    683,828.30x = 388,795,107,596.54
  5. Step 5: Solve for x
    x = 388,795,107,596.54/683,828.30
  6. Step 6: Final answer
    x = 568,556.62

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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.