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Finding the Fourth Proportional to 589,455.78, 813,449.00 and 321,183.78

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Solution

The fourth proportional to 589,455.78, 813,449.00 and 321,183.78 is: 443,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,455.78 : 813,449.00 = 321,183.78 : x
  2. Step 2: Convert to fraction form
    589,455.78/813,449.00 = 321,183.78/x
  3. Step 3: Cross multiply
    589,455.78x = 813,449.00 × 321,183.78
  4. Step 4: Simplify right side
    589,455.78x = 261,266,623,051.30
  5. Step 5: Solve for x
    x = 261,266,623,051.30/589,455.78
  6. Step 6: Final answer
    x = 443,233.63

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1.5x scale

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.