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Finding the Fourth Proportional to 712,809, 983,676.42 and 394,857

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Solution

The fourth proportional to 712,809, 983,676.42 and 394,857 is: 544,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,809 : 983,676.42 = 394,857 : x
  2. Step 2: Convert to fraction form
    712,809/983,676.42 = 394,857/x
  3. Step 3: Cross multiply
    712,809x = 983,676.42 × 394,857
  4. Step 4: Simplify right side
    712,809x = 388,411,520,171.94
  5. Step 5: Solve for x
    x = 388,411,520,171.94/712,809
  6. Step 6: Final answer
    x = 544,902.66

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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.