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Finding the Fourth Proportional to 499,410.85, 688,727.36 and 327,266.30

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Solution

The fourth proportional to 499,410.85, 688,727.36 and 327,266.30 is: 451,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,410.85 : 688,727.36 = 327,266.30 : x
  2. Step 2: Convert to fraction form
    499,410.85/688,727.36 = 327,266.30/x
  3. Step 3: Cross multiply
    499,410.85x = 688,727.36 × 327,266.30
  4. Step 4: Simplify right side
    499,410.85x = 225,397,254,815.97
  5. Step 5: Solve for x
    x = 225,397,254,815.97/499,410.85
  6. Step 6: Final answer
    x = 451,326.31

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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.