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Finding the Fourth Proportional to 305,752.44, 458,625.69 and 185,842.47

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Solution

The fourth proportional to 305,752.44, 458,625.69 and 185,842.47 is: 278,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,752.44 : 458,625.69 = 185,842.47 : x
  2. Step 2: Convert to fraction form
    305,752.44/458,625.69 = 185,842.47/x
  3. Step 3: Cross multiply
    305,752.44x = 458,625.69 × 185,842.47
  4. Step 4: Simplify right side
    305,752.44x = 85,232,131,035.05
  5. Step 5: Solve for x
    x = 85,232,131,035.05/305,752.44
  6. Step 6: Final answer
    x = 278,761.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.