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Finding the Fourth Proportional to 329,627.46, 494,145.92 and 171,675.02

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Solution

The fourth proportional to 329,627.46, 494,145.92 and 171,675.02 is: 257,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,627.46 : 494,145.92 = 171,675.02 : x
  2. Step 2: Convert to fraction form
    329,627.46/494,145.92 = 171,675.02/x
  3. Step 3: Cross multiply
    329,627.46x = 494,145.92 × 171,675.02
  4. Step 4: Simplify right side
    329,627.46x = 84,832,510,698.92
  5. Step 5: Solve for x
    x = 84,832,510,698.92/329,627.46
  6. Step 6: Final answer
    x = 257,358.75

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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.