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Finding the Fourth Proportional to 344,265.44, 516,199.50 and 133,657.34

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Solution

The fourth proportional to 344,265.44, 516,199.50 and 133,657.34 is: 200,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,265.44 : 516,199.50 = 133,657.34 : x
  2. Step 2: Convert to fraction form
    344,265.44/516,199.50 = 133,657.34/x
  3. Step 3: Cross multiply
    344,265.44x = 516,199.50 × 133,657.34
  4. Step 4: Simplify right side
    344,265.44x = 68,993,849,498.33
  5. Step 5: Solve for x
    x = 68,993,849,498.33/344,265.44
  6. Step 6: Final answer
    x = 200,408.88

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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.