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Finding the Fourth Proportional to 683,954.64, 943,872.84 and 382,147.92

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Solution

The fourth proportional to 683,954.64, 943,872.84 and 382,147.92 is: 527,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,954.64 : 943,872.84 = 382,147.92 : x
  2. Step 2: Convert to fraction form
    683,954.64/943,872.84 = 382,147.92/x
  3. Step 3: Cross multiply
    683,954.64x = 943,872.84 × 382,147.92
  4. Step 4: Simplify right side
    683,954.64x = 360,699,042,550.49
  5. Step 5: Solve for x
    x = 360,699,042,550.49/683,954.64
  6. Step 6: Final answer
    x = 527,372.75

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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.