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Finding the Fourth Proportional to 415,025.80, 622,538.70 and 341,214.55

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Solution

The fourth proportional to 415,025.80, 622,538.70 and 341,214.55 is: 511,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,025.80 : 622,538.70 = 341,214.55 : x
  2. Step 2: Convert to fraction form
    415,025.80/622,538.70 = 341,214.55/x
  3. Step 3: Cross multiply
    415,025.80x = 622,538.70 × 341,214.55
  4. Step 4: Simplify right side
    415,025.80x = 212,419,262,378.09
  5. Step 5: Solve for x
    x = 212,419,262,378.09/415,025.80
  6. Step 6: Final answer
    x = 511,821.83

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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.