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Finding the Fourth Proportional to 344,302.56, 516,255.12 and 133,694.64

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Solution

The fourth proportional to 344,302.56, 516,255.12 and 133,694.64 is: 200,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,302.56 : 516,255.12 = 133,694.64 : x
  2. Step 2: Convert to fraction form
    344,302.56/516,255.12 = 133,694.64/x
  3. Step 3: Cross multiply
    344,302.56x = 516,255.12 × 133,694.64
  4. Step 4: Simplify right side
    344,302.56x = 69,020,542,416.56
  5. Step 5: Solve for x
    x = 69,020,542,416.56/344,302.56
  6. Step 6: Final answer
    x = 200,464.80

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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.