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Finding the Fourth Proportional to 541,405.41, 811,651.47 and 341,284.78

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Solution

The fourth proportional to 541,405.41, 811,651.47 and 341,284.78 is: 511,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,405.41 : 811,651.47 = 341,284.78 : x
  2. Step 2: Convert to fraction form
    541,405.41/811,651.47 = 341,284.78/x
  3. Step 3: Cross multiply
    541,405.41x = 811,651.47 × 341,284.78
  4. Step 4: Simplify right side
    541,405.41x = 277,004,293,375.63
  5. Step 5: Solve for x
    x = 277,004,293,375.63/541,405.41
  6. Step 6: Final answer
    x = 511,639.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.