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Finding the Fourth Proportional to 415,069.80, 622,896.30 and 178,582.20

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Solution

The fourth proportional to 415,069.80, 622,896.30 and 178,582.20 is: 267,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,069.80 : 622,896.30 = 178,582.20 : x
  2. Step 2: Convert to fraction form
    415,069.80/622,896.30 = 178,582.20/x
  3. Step 3: Cross multiply
    415,069.80x = 622,896.30 × 178,582.20
  4. Step 4: Simplify right side
    415,069.80x = 111,238,191,625.86
  5. Step 5: Solve for x
    x = 111,238,191,625.86/415,069.80
  6. Step 6: Final answer
    x = 267,998.76

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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.