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Finding the Fourth Proportional to 322,002.32, 482,990.52 and 164,227.28

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Solution

The fourth proportional to 322,002.32, 482,990.52 and 164,227.28 is: 246,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,002.32 : 482,990.52 = 164,227.28 : x
  2. Step 2: Convert to fraction form
    322,002.32/482,990.52 = 164,227.28/x
  3. Step 3: Cross multiply
    322,002.32x = 482,990.52 × 164,227.28
  4. Step 4: Simplify right side
    322,002.32x = 79,320,219,365.39
  5. Step 5: Solve for x
    x = 79,320,219,365.39/322,002.32
  6. Step 6: Final answer
    x = 246,334.31

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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.