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Finding the Fourth Proportional to 320,772.86, 442,617.22 and 184,780.24

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Solution

The fourth proportional to 320,772.86, 442,617.22 and 184,780.24 is: 254,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,772.86 : 442,617.22 = 184,780.24 : x
  2. Step 2: Convert to fraction form
    320,772.86/442,617.22 = 184,780.24/x
  3. Step 3: Cross multiply
    320,772.86x = 442,617.22 × 184,780.24
  4. Step 4: Simplify right side
    320,772.86x = 81,786,916,139.73
  5. Step 5: Solve for x
    x = 81,786,916,139.73/320,772.86
  6. Step 6: Final answer
    x = 254,968.32

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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.