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Finding the Fourth Proportional to 323,644.60, 446,629.71 and 180,401.37

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Solution

The fourth proportional to 323,644.60, 446,629.71 and 180,401.37 is: 248,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,644.60 : 446,629.71 = 180,401.37 : x
  2. Step 2: Convert to fraction form
    323,644.60/446,629.71 = 180,401.37/x
  3. Step 3: Cross multiply
    323,644.60x = 446,629.71 × 180,401.37
  4. Step 4: Simplify right side
    323,644.60x = 80,572,611,566.70
  5. Step 5: Solve for x
    x = 80,572,611,566.70/323,644.60
  6. Step 6: Final answer
    x = 248,953.98

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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.