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Finding the Fourth Proportional to 329,475.20, 494,097.60 and 171,651.20

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Solution

The fourth proportional to 329,475.20, 494,097.60 and 171,651.20 is: 257,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,475.20 : 494,097.60 = 171,651.20 : x
  2. Step 2: Convert to fraction form
    329,475.20/494,097.60 = 171,651.20/x
  3. Step 3: Cross multiply
    329,475.20x = 494,097.60 × 171,651.20
  4. Step 4: Simplify right side
    329,475.20x = 84,812,445,957.12
  5. Step 5: Solve for x
    x = 84,812,445,957.12/329,475.20
  6. Step 6: Final answer
    x = 257,416.78

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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.