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Finding the Fourth Proportional to 321,546.15, 443,712.06 and 178,300.89

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Solution

The fourth proportional to 321,546.15, 443,712.06 and 178,300.89 is: 246,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,546.15 : 443,712.06 = 178,300.89 : x
  2. Step 2: Convert to fraction form
    321,546.15/443,712.06 = 178,300.89/x
  3. Step 3: Cross multiply
    321,546.15x = 443,712.06 × 178,300.89
  4. Step 4: Simplify right side
    321,546.15x = 79,114,255,201.73
  5. Step 5: Solve for x
    x = 79,114,255,201.73/321,546.15
  6. Step 6: Final answer
    x = 246,043.24

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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.