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Finding the Fourth Proportional to 363,034.48, 500,958.72 and 201,880

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Solution

The fourth proportional to 363,034.48, 500,958.72 and 201,880 is: 278,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,034.48 : 500,958.72 = 201,880 : x
  2. Step 2: Convert to fraction form
    363,034.48/500,958.72 = 201,880/x
  3. Step 3: Cross multiply
    363,034.48x = 500,958.72 × 201,880
  4. Step 4: Simplify right side
    363,034.48x = 101,133,546,393.60
  5. Step 5: Solve for x
    x = 101,133,546,393.60/363,034.48
  6. Step 6: Final answer
    x = 278,578.35

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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.