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Finding the Fourth Proportional to 415,142.80, 622,714.20 and 341,331.55

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Solution

The fourth proportional to 415,142.80, 622,714.20 and 341,331.55 is: 511,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,142.80 : 622,714.20 = 341,331.55 : x
  2. Step 2: Convert to fraction form
    415,142.80/622,714.20 = 341,331.55/x
  3. Step 3: Cross multiply
    415,142.80x = 622,714.20 × 341,331.55
  4. Step 4: Simplify right side
    415,142.80x = 212,552,003,093.01
  5. Step 5: Solve for x
    x = 212,552,003,093.01/415,142.80
  6. Step 6: Final answer
    x = 511,997.33

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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.