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Finding the Fourth Proportional to 382,908.87, 574,527.33 and 158,432.49

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Solution

The fourth proportional to 382,908.87, 574,527.33 and 158,432.49 is: 237,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,908.87 : 574,527.33 = 158,432.49 : x
  2. Step 2: Convert to fraction form
    382,908.87/574,527.33 = 158,432.49/x
  3. Step 3: Cross multiply
    382,908.87x = 574,527.33 × 158,432.49
  4. Step 4: Simplify right side
    382,908.87x = 91,023,795,464.95
  5. Step 5: Solve for x
    x = 91,023,795,464.95/382,908.87
  6. Step 6: Final answer
    x = 237,716.60

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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.