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Finding the Fourth Proportional to 683,827.80, 943,718.49 and 411,981.27

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Solution

The fourth proportional to 683,827.80, 943,718.49 and 411,981.27 is: 568,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,827.80 : 943,718.49 = 411,981.27 : x
  2. Step 2: Convert to fraction form
    683,827.80/943,718.49 = 411,981.27/x
  3. Step 3: Cross multiply
    683,827.80x = 943,718.49 × 411,981.27
  4. Step 4: Simplify right side
    683,827.80x = 388,794,342,032.68
  5. Step 5: Solve for x
    x = 388,794,342,032.68/683,827.80
  6. Step 6: Final answer
    x = 568,555.92

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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.