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Finding the Fourth Proportional to 491,705.22, 737,684.60 and 267,007.98

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Solution

The fourth proportional to 491,705.22, 737,684.60 and 267,007.98 is: 400,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,705.22 : 737,684.60 = 267,007.98 : x
  2. Step 2: Convert to fraction form
    491,705.22/737,684.60 = 267,007.98/x
  3. Step 3: Cross multiply
    491,705.22x = 737,684.60 × 267,007.98
  4. Step 4: Simplify right side
    491,705.22x = 196,967,673,588.07
  5. Step 5: Solve for x
    x = 196,967,673,588.07/491,705.22
  6. Step 6: Final answer
    x = 400,580.81

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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.