Home / 378,822.86-522,788.10-206,750.24

Finding the Fourth Proportional to 378,822.86, 522,788.10 and 206,750.24

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Solution

The fourth proportional to 378,822.86, 522,788.10 and 206,750.24 is: 285,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,822.86 : 522,788.10 = 206,750.24 : x
  2. Step 2: Convert to fraction form
    378,822.86/522,788.10 = 206,750.24/x
  3. Step 3: Cross multiply
    378,822.86x = 522,788.10 × 206,750.24
  4. Step 4: Simplify right side
    378,822.86x = 108,086,565,144.14
  5. Step 5: Solve for x
    x = 108,086,565,144.14/378,822.86
  6. Step 6: Final answer
    x = 285,322.18

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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.