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Finding the Fourth Proportional to 582,438.42, 873,867.88 and 203,414.96

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Solution

The fourth proportional to 582,438.42, 873,867.88 and 203,414.96 is: 305,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,438.42 : 873,867.88 = 203,414.96 : x
  2. Step 2: Convert to fraction form
    582,438.42/873,867.88 = 203,414.96/x
  3. Step 3: Cross multiply
    582,438.42x = 873,867.88 × 203,414.96
  4. Step 4: Simplify right side
    582,438.42x = 177,757,799,855.49
  5. Step 5: Solve for x
    x = 177,757,799,855.49/582,438.42
  6. Step 6: Final answer
    x = 305,195.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.