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Finding the Fourth Proportional to 378,564.88, 522,418.53 and 217,430.38

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Solution

The fourth proportional to 378,564.88, 522,418.53 and 217,430.38 is: 300,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,564.88 : 522,418.53 = 217,430.38 : x
  2. Step 2: Convert to fraction form
    378,564.88/522,418.53 = 217,430.38/x
  3. Step 3: Cross multiply
    378,564.88x = 522,418.53 × 217,430.38
  4. Step 4: Simplify right side
    378,564.88x = 113,589,659,496.94
  5. Step 5: Solve for x
    x = 113,589,659,496.94/378,564.88
  6. Step 6: Final answer
    x = 300,053.35

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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.