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Finding the Fourth Proportional to 382,997.06, 574,199.53 and 193,359.80

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Solution

The fourth proportional to 382,997.06, 574,199.53 and 193,359.80 is: 289,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,997.06 : 574,199.53 = 193,359.80 : x
  2. Step 2: Convert to fraction form
    382,997.06/574,199.53 = 193,359.80/x
  3. Step 3: Cross multiply
    382,997.06x = 574,199.53 × 193,359.80
  4. Step 4: Simplify right side
    382,997.06x = 111,027,105,314.10
  5. Step 5: Solve for x
    x = 111,027,105,314.10/382,997.06
  6. Step 6: Final answer
    x = 289,890.23

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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.