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Finding the Fourth Proportional to 541,099.38, 746,739.15 and 299,378.04

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Solution

The fourth proportional to 541,099.38, 746,739.15 and 299,378.04 is: 413,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,099.38 : 746,739.15 = 299,378.04 : x
  2. Step 2: Convert to fraction form
    541,099.38/746,739.15 = 299,378.04/x
  3. Step 3: Cross multiply
    541,099.38x = 746,739.15 × 299,378.04
  4. Step 4: Simplify right side
    541,099.38x = 223,557,303,118.27
  5. Step 5: Solve for x
    x = 223,557,303,118.27/541,099.38
  6. Step 6: Final answer
    x = 413,153.87

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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.