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Finding the Fourth Proportional to 721,936.84, 996,328.17 and 411,846.25

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Solution

The fourth proportional to 721,936.84, 996,328.17 and 411,846.25 is: 568,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,936.84 : 996,328.17 = 411,846.25 : x
  2. Step 2: Convert to fraction form
    721,936.84/996,328.17 = 411,846.25/x
  3. Step 3: Cross multiply
    721,936.84x = 996,328.17 × 411,846.25
  4. Step 4: Simplify right side
    721,936.84x = 410,334,017,938.86
  5. Step 5: Solve for x
    x = 410,334,017,938.86/721,936.84
  6. Step 6: Final answer
    x = 568,379.39

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Why These Related Problems?

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