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Finding the Fourth Proportional to 541,230.62, 746,879.86 and 299,523.38

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Solution

The fourth proportional to 541,230.62, 746,879.86 and 299,523.38 is: 413,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,230.62 : 746,879.86 = 299,523.38 : x
  2. Step 2: Convert to fraction form
    541,230.62/746,879.86 = 299,523.38/x
  3. Step 3: Cross multiply
    541,230.62x = 746,879.86 × 299,523.38
  4. Step 4: Simplify right side
    541,230.62x = 223,707,980,121.13
  5. Step 5: Solve for x
    x = 223,707,980,121.13/541,230.62
  6. Step 6: Final answer
    x = 413,332.08

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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.