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Finding the Fourth Proportional to 322,414.60, 482,965.80 and 164,731.90

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Solution

The fourth proportional to 322,414.60, 482,965.80 and 164,731.90 is: 246,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,414.60 : 482,965.80 = 164,731.90 : x
  2. Step 2: Convert to fraction form
    322,414.60/482,965.80 = 164,731.90/x
  3. Step 3: Cross multiply
    322,414.60x = 482,965.80 × 164,731.90
  4. Step 4: Simplify right side
    322,414.60x = 79,559,873,869.02
  5. Step 5: Solve for x
    x = 79,559,873,869.02/322,414.60
  6. Step 6: Final answer
    x = 246,762.63

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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.