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Finding the Fourth Proportional to 320,538.86, 442,330.11 and 177,289.75

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Solution

The fourth proportional to 320,538.86, 442,330.11 and 177,289.75 is: 244,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,538.86 : 442,330.11 = 177,289.75 : x
  2. Step 2: Convert to fraction form
    320,538.86/442,330.11 = 177,289.75/x
  3. Step 3: Cross multiply
    320,538.86x = 442,330.11 × 177,289.75
  4. Step 4: Simplify right side
    320,538.86x = 78,420,593,513.55
  5. Step 5: Solve for x
    x = 78,420,593,513.55/320,538.86
  6. Step 6: Final answer
    x = 244,652.38

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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.