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Finding the Fourth Proportional to 541,221.62, 746,867.46 and 299,514.38

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Solution

The fourth proportional to 541,221.62, 746,867.46 and 299,514.38 is: 413,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,221.62 : 746,867.46 = 299,514.38 : x
  2. Step 2: Convert to fraction form
    541,221.62/746,867.46 = 299,514.38/x
  3. Step 3: Cross multiply
    541,221.62x = 746,867.46 × 299,514.38
  4. Step 4: Simplify right side
    541,221.62x = 223,697,544,224.08
  5. Step 5: Solve for x
    x = 223,697,544,224.08/541,221.62
  6. Step 6: Final answer
    x = 413,319.68

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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.