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Finding the Fourth Proportional to 589,458.16, 813,452.27 and 321,186.16

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Solution

The fourth proportional to 589,458.16, 813,452.27 and 321,186.16 is: 443,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,458.16 : 813,452.27 = 321,186.16 : x
  2. Step 2: Convert to fraction form
    589,458.16/813,452.27 = 321,186.16/x
  3. Step 3: Cross multiply
    589,458.16x = 813,452.27 × 321,186.16
  4. Step 4: Simplify right side
    589,458.16x = 261,269,610,944.58
  5. Step 5: Solve for x
    x = 261,269,610,944.58/589,458.16
  6. Step 6: Final answer
    x = 443,236.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.