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Finding the Fourth Proportional to 541,287.12, 746,950.50 and 296,266.44

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Solution

The fourth proportional to 541,287.12, 746,950.50 and 296,266.44 is: 408,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,287.12 : 746,950.50 = 296,266.44 : x
  2. Step 2: Convert to fraction form
    541,287.12/746,950.50 = 296,266.44/x
  3. Step 3: Cross multiply
    541,287.12x = 746,950.50 × 296,266.44
  4. Step 4: Simplify right side
    541,287.12x = 221,296,365,491.22
  5. Step 5: Solve for x
    x = 221,296,365,491.22/541,287.12
  6. Step 6: Final answer
    x = 408,833.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.