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Finding the Fourth Proportional to 366,555.41, 505,846.11 and 205,411.61

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Solution

The fourth proportional to 366,555.41, 505,846.11 and 205,411.61 is: 283,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,555.41 : 505,846.11 = 205,411.61 : x
  2. Step 2: Convert to fraction form
    366,555.41/505,846.11 = 205,411.61/x
  3. Step 3: Cross multiply
    366,555.41x = 505,846.11 × 205,411.61
  4. Step 4: Simplify right side
    366,555.41x = 103,906,661,338.11
  5. Step 5: Solve for x
    x = 103,906,661,338.11/366,555.41
  6. Step 6: Final answer
    x = 283,467.82

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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.