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Finding the Fourth Proportional to 491,723.52, 737,712 and 267,026.28

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Solution

The fourth proportional to 491,723.52, 737,712 and 267,026.28 is: 400,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,723.52 : 737,712 = 267,026.28 : x
  2. Step 2: Convert to fraction form
    491,723.52/737,712 = 267,026.28/x
  3. Step 3: Cross multiply
    491,723.52x = 737,712 × 267,026.28
  4. Step 4: Simplify right side
    491,723.52x = 196,988,491,071.36
  5. Step 5: Solve for x
    x = 196,988,491,071.36/491,723.52
  6. Step 6: Final answer
    x = 400,608.23

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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.