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Finding the Fourth Proportional to 683,582.99, 943,424.67 and 411,788.09

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Solution

The fourth proportional to 683,582.99, 943,424.67 and 411,788.09 is: 568,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,582.99 : 943,424.67 = 411,788.09 : x
  2. Step 2: Convert to fraction form
    683,582.99/943,424.67 = 411,788.09/x
  3. Step 3: Cross multiply
    683,582.99x = 943,424.67 × 411,788.09
  4. Step 4: Simplify right side
    683,582.99x = 388,491,038,201.06
  5. Step 5: Solve for x
    x = 388,491,038,201.06/683,582.99
  6. Step 6: Final answer
    x = 568,315.84

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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.