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Finding the Fourth Proportional to 467,540.82, 644,907.15 and 324,248.58

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Solution

The fourth proportional to 467,540.82, 644,907.15 and 324,248.58 is: 447,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,540.82 : 644,907.15 = 324,248.58 : x
  2. Step 2: Convert to fraction form
    467,540.82/644,907.15 = 324,248.58/x
  3. Step 3: Cross multiply
    467,540.82x = 644,907.15 × 324,248.58
  4. Step 4: Simplify right side
    467,540.82x = 209,110,227,619.35
  5. Step 5: Solve for x
    x = 209,110,227,619.35/467,540.82
  6. Step 6: Final answer
    x = 447,255.55

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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.