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Finding the Fourth Proportional to 589,466.28, 813,463.47 and 321,194.28

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Solution

The fourth proportional to 589,466.28, 813,463.47 and 321,194.28 is: 443,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,466.28 : 813,463.47 = 321,194.28 : x
  2. Step 2: Convert to fraction form
    589,466.28/813,463.47 = 321,194.28/x
  3. Step 3: Cross multiply
    589,466.28x = 813,463.47 × 321,194.28
  4. Step 4: Simplify right side
    589,466.28x = 261,279,813,552.95
  5. Step 5: Solve for x
    x = 261,279,813,552.95/589,466.28
  6. Step 6: Final answer
    x = 443,248.11

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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.