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Finding the Fourth Proportional to 506,022.50, 758,375.22 and 206,151.86

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Solution

The fourth proportional to 506,022.50, 758,375.22 and 206,151.86 is: 308,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,022.50 : 758,375.22 = 206,151.86 : x
  2. Step 2: Convert to fraction form
    506,022.50/758,375.22 = 206,151.86/x
  3. Step 3: Cross multiply
    506,022.50x = 758,375.22 × 206,151.86
  4. Step 4: Simplify right side
    506,022.50x = 156,340,462,180.91
  5. Step 5: Solve for x
    x = 156,340,462,180.91/506,022.50
  6. Step 6: Final answer
    x = 308,959.51

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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.