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Finding the Fourth Proportional to 589,466.16, 813,463.16 and 321,194.16

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Solution

The fourth proportional to 589,466.16, 813,463.16 and 321,194.16 is: 443,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,466.16 : 813,463.16 = 321,194.16 : x
  2. Step 2: Convert to fraction form
    589,466.16/813,463.16 = 321,194.16/x
  3. Step 3: Cross multiply
    589,466.16x = 813,463.16 × 321,194.16
  4. Step 4: Simplify right side
    589,466.16x = 261,279,614,761.18
  5. Step 5: Solve for x
    x = 261,279,614,761.18/589,466.16
  6. Step 6: Final answer
    x = 443,247.86

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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.