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Finding the Fourth Proportional to 541,296.86, 746,911.47 and 299,578.86

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Solution

The fourth proportional to 541,296.86, 746,911.47 and 299,578.86 is: 413,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,296.86 : 746,911.47 = 299,578.86 : x
  2. Step 2: Convert to fraction form
    541,296.86/746,911.47 = 299,578.86/x
  3. Step 3: Cross multiply
    541,296.86x = 746,911.47 × 299,578.86
  4. Step 4: Simplify right side
    541,296.86x = 223,758,886,703.52
  5. Step 5: Solve for x
    x = 223,758,886,703.52/541,296.86
  6. Step 6: Final answer
    x = 413,375.55

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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.