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Finding the Fourth Proportional to 591,991.76, 816,932.04 and 323,714

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Solution

The fourth proportional to 591,991.76, 816,932.04 and 323,714 is: 446,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,991.76 : 816,932.04 = 323,714 : x
  2. Step 2: Convert to fraction form
    591,991.76/816,932.04 = 323,714/x
  3. Step 3: Cross multiply
    591,991.76x = 816,932.04 × 323,714
  4. Step 4: Simplify right side
    591,991.76x = 264,452,338,396.56
  5. Step 5: Solve for x
    x = 264,452,338,396.56/591,991.76
  6. Step 6: Final answer
    x = 446,716.25

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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.