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Finding the Fourth Proportional to 410,131.89, 615,591.90 and 199,917.45

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Solution

The fourth proportional to 410,131.89, 615,591.90 and 199,917.45 is: 300,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,131.89 : 615,591.90 = 199,917.45 : x
  2. Step 2: Convert to fraction form
    410,131.89/615,591.90 = 199,917.45/x
  3. Step 3: Cross multiply
    410,131.89x = 615,591.90 × 199,917.45
  4. Step 4: Simplify right side
    410,131.89x = 123,067,562,888.66
  5. Step 5: Solve for x
    x = 123,067,562,888.66/410,131.89
  6. Step 6: Final answer
    x = 300,068.26

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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.