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Finding the Fourth Proportional to 366,761.91, 506,131.05 and 205,617

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Solution

The fourth proportional to 366,761.91, 506,131.05 and 205,617 is: 283,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,761.91 : 506,131.05 = 205,617 : x
  2. Step 2: Convert to fraction form
    366,761.91/506,131.05 = 205,617/x
  3. Step 3: Cross multiply
    366,761.91x = 506,131.05 × 205,617
  4. Step 4: Simplify right side
    366,761.91x = 104,069,148,107.85
  5. Step 5: Solve for x
    x = 104,069,148,107.85/366,761.91
  6. Step 6: Final answer
    x = 283,751.24

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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.