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Finding the Fourth Proportional to 595,640.21, 821,991.31 and 323,712.42

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Solution

The fourth proportional to 595,640.21, 821,991.31 and 323,712.42 is: 446,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,640.21 : 821,991.31 = 323,712.42 : x
  2. Step 2: Convert to fraction form
    595,640.21/821,991.31 = 323,712.42/x
  3. Step 3: Cross multiply
    595,640.21x = 821,991.31 × 323,712.42
  4. Step 4: Simplify right side
    595,640.21x = 266,088,796,911.02
  5. Step 5: Solve for x
    x = 266,088,796,911.02/595,640.21
  6. Step 6: Final answer
    x = 446,727.39

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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.