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Finding the Fourth Proportional to 366,922.69, 506,354.22 and 214,065.97

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Solution

The fourth proportional to 366,922.69, 506,354.22 and 214,065.97 is: 295,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,922.69 : 506,354.22 = 214,065.97 : x
  2. Step 2: Convert to fraction form
    366,922.69/506,354.22 = 214,065.97/x
  3. Step 3: Cross multiply
    366,922.69x = 506,354.22 × 214,065.97
  4. Step 4: Simplify right side
    366,922.69x = 108,393,206,002.01
  5. Step 5: Solve for x
    x = 108,393,206,002.01/366,922.69
  6. Step 6: Final answer
    x = 295,411.57

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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.