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Finding the Fourth Proportional to 415,121.40, 622,827.90 and 178,536.60

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Solution

The fourth proportional to 415,121.40, 622,827.90 and 178,536.60 is: 267,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,121.40 : 622,827.90 = 178,536.60 : x
  2. Step 2: Convert to fraction form
    415,121.40/622,827.90 = 178,536.60/x
  3. Step 3: Cross multiply
    415,121.40x = 622,827.90 × 178,536.60
  4. Step 4: Simplify right side
    415,121.40x = 111,197,575,651.14
  5. Step 5: Solve for x
    x = 111,197,575,651.14/415,121.40
  6. Step 6: Final answer
    x = 267,867.61

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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.