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Finding the Fourth Proportional to 415,007.80, 622,511.70 and 341,196.55

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Solution

The fourth proportional to 415,007.80, 622,511.70 and 341,196.55 is: 511,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,007.80 : 622,511.70 = 341,196.55 : x
  2. Step 2: Convert to fraction form
    415,007.80/622,511.70 = 341,196.55/x
  3. Step 3: Cross multiply
    415,007.80x = 622,511.70 × 341,196.55
  4. Step 4: Simplify right side
    415,007.80x = 212,398,844,374.64
  5. Step 5: Solve for x
    x = 212,398,844,374.64/415,007.80
  6. Step 6: Final answer
    x = 511,794.83

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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.