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Finding the Fourth Proportional to 378,294.31, 522,041.91 and 206,208.51

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Solution

The fourth proportional to 378,294.31, 522,041.91 and 206,208.51 is: 284,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,294.31 : 522,041.91 = 206,208.51 : x
  2. Step 2: Convert to fraction form
    378,294.31/522,041.91 = 206,208.51/x
  3. Step 3: Cross multiply
    378,294.31x = 522,041.91 × 206,208.51
  4. Step 4: Simplify right side
    378,294.31x = 107,649,483,010.96
  5. Step 5: Solve for x
    x = 107,649,483,010.96/378,294.31
  6. Step 6: Final answer
    x = 284,565.43

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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.