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Finding the Fourth Proportional to 595,397, 821,660.82 and 327,125

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Solution

The fourth proportional to 595,397, 821,660.82 and 327,125 is: 451,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,397 : 821,660.82 = 327,125 : x
  2. Step 2: Convert to fraction form
    595,397/821,660.82 = 327,125/x
  3. Step 3: Cross multiply
    595,397x = 821,660.82 × 327,125
  4. Step 4: Simplify right side
    595,397x = 268,785,795,742.50
  5. Step 5: Solve for x
    x = 268,785,795,742.50/595,397
  6. Step 6: Final answer
    x = 451,439.62

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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.