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Finding the Fourth Proportional to 382,980.38, 574,733.00 and 133,662.38

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Solution

The fourth proportional to 382,980.38, 574,733.00 and 133,662.38 is: 200,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,980.38 : 574,733.00 = 133,662.38 : x
  2. Step 2: Convert to fraction form
    382,980.38/574,733.00 = 133,662.38/x
  3. Step 3: Cross multiply
    382,980.38x = 574,733.00 × 133,662.38
  4. Step 4: Simplify right side
    382,980.38x = 76,820,178,105.03
  5. Step 5: Solve for x
    x = 76,820,178,105.03/382,980.38
  6. Step 6: Final answer
    x = 200,585.16

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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.