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Finding the Fourth Proportional to 361,975.38, 499,586.01 and 200,882.19

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Solution

The fourth proportional to 361,975.38, 499,586.01 and 200,882.19 is: 277,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,975.38 : 499,586.01 = 200,882.19 : x
  2. Step 2: Convert to fraction form
    361,975.38/499,586.01 = 200,882.19/x
  3. Step 3: Cross multiply
    361,975.38x = 499,586.01 × 200,882.19
  4. Step 4: Simplify right side
    361,975.38x = 100,357,931,782.16
  5. Step 5: Solve for x
    x = 100,357,931,782.16/361,975.38
  6. Step 6: Final answer
    x = 277,250.71

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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.