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Finding the Fourth Proportional to 344,296.72, 516,299.10 and 133,790.68

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Solution

The fourth proportional to 344,296.72, 516,299.10 and 133,790.68 is: 200,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,296.72 : 516,299.10 = 133,790.68 : x
  2. Step 2: Convert to fraction form
    344,296.72/516,299.10 = 133,790.68/x
  3. Step 3: Cross multiply
    344,296.72x = 516,299.10 × 133,790.68
  4. Step 4: Simplify right side
    344,296.72x = 69,076,007,672.39
  5. Step 5: Solve for x
    x = 69,076,007,672.39/344,296.72
  6. Step 6: Final answer
    x = 200,629.29

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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.