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Finding the Fourth Proportional to 467,096.52, 644,698.11 and 305,857.92

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Solution

The fourth proportional to 467,096.52, 644,698.11 and 305,857.92 is: 422,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,096.52 : 644,698.11 = 305,857.92 : x
  2. Step 2: Convert to fraction form
    467,096.52/644,698.11 = 305,857.92/x
  3. Step 3: Cross multiply
    467,096.52x = 644,698.11 × 305,857.92
  4. Step 4: Simplify right side
    467,096.52x = 197,186,022,952.53
  5. Step 5: Solve for x
    x = 197,186,022,952.53/467,096.52
  6. Step 6: Final answer
    x = 422,152.63

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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.