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Finding the Fourth Proportional to 329,819.40, 494,729.10 and 172,355.40

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Solution

The fourth proportional to 329,819.40, 494,729.10 and 172,355.40 is: 258,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,819.40 : 494,729.10 = 172,355.40 : x
  2. Step 2: Convert to fraction form
    329,819.40/494,729.10 = 172,355.40/x
  3. Step 3: Cross multiply
    329,819.40x = 494,729.10 × 172,355.40
  4. Step 4: Simplify right side
    329,819.40x = 85,269,231,922.14
  5. Step 5: Solve for x
    x = 85,269,231,922.14/329,819.40
  6. Step 6: Final answer
    x = 258,533.10

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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.