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Finding the Fourth Proportional to 344,414.50, 516,131.06 and 253,744.11

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Solution

The fourth proportional to 344,414.50, 516,131.06 and 253,744.11 is: 380,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,414.50 : 516,131.06 = 253,744.11 : x
  2. Step 2: Convert to fraction form
    344,414.50/516,131.06 = 253,744.11/x
  3. Step 3: Cross multiply
    344,414.50x = 516,131.06 × 253,744.11
  4. Step 4: Simplify right side
    344,414.50x = 130,965,215,194.34
  5. Step 5: Solve for x
    x = 130,965,215,194.34/344,414.50
  6. Step 6: Final answer
    x = 380,254.65

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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.