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Finding the Fourth Proportional to 589,474.64, 813,476.04 and 321,202.64

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Solution

The fourth proportional to 589,474.64, 813,476.04 and 321,202.64 is: 443,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,474.64 : 813,476.04 = 321,202.64 : x
  2. Step 2: Convert to fraction form
    589,474.64/813,476.04 = 321,202.64/x
  3. Step 3: Cross multiply
    589,474.64x = 813,476.04 × 321,202.64
  4. Step 4: Simplify right side
    589,474.64x = 261,290,651,624.75
  5. Step 5: Solve for x
    x = 261,290,651,624.75/589,474.64
  6. Step 6: Final answer
    x = 443,260.21

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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.