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Finding the Fourth Proportional to 467,533.71, 644,897.31 and 324,241.47

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Solution

The fourth proportional to 467,533.71, 644,897.31 and 324,241.47 is: 447,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,533.71 : 644,897.31 = 324,241.47 : x
  2. Step 2: Convert to fraction form
    467,533.71/644,897.31 = 324,241.47/x
  3. Step 3: Cross multiply
    467,533.71x = 644,897.31 × 324,241.47
  4. Step 4: Simplify right side
    467,533.71x = 209,102,451,793.45
  5. Step 5: Solve for x
    x = 209,102,451,793.45/467,533.71
  6. Step 6: Final answer
    x = 447,245.72

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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.