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Finding the Fourth Proportional to 589,988.77, 814,183 and 321,716.77

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Solution

The fourth proportional to 589,988.77, 814,183 and 321,716.77 is: 443,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,988.77 : 814,183 = 321,716.77 : x
  2. Step 2: Convert to fraction form
    589,988.77/814,183 = 321,716.77/x
  3. Step 3: Cross multiply
    589,988.77x = 814,183 × 321,716.77
  4. Step 4: Simplify right side
    589,988.77x = 261,936,324,948.91
  5. Step 5: Solve for x
    x = 261,936,324,948.91/589,988.77
  6. Step 6: Final answer
    x = 443,968.32

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Half scale
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Double scale
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Similar ratio
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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.