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Finding the Fourth Proportional to 491,181.40, 736,080.90 and 363,827.80

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Solution

The fourth proportional to 491,181.40, 736,080.90 and 363,827.80 is: 545,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,181.40 : 736,080.90 = 363,827.80 : x
  2. Step 2: Convert to fraction form
    491,181.40/736,080.90 = 363,827.80/x
  3. Step 3: Cross multiply
    491,181.40x = 736,080.90 × 363,827.80
  4. Step 4: Simplify right side
    491,181.40x = 267,806,694,469.02
  5. Step 5: Solve for x
    x = 267,806,694,469.02/491,181.40
  6. Step 6: Final answer
    x = 545,229.71

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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.