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Finding the Fourth Proportional to 329,529.60, 494,294.40 and 327,196.80

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Solution

The fourth proportional to 329,529.60, 494,294.40 and 327,196.80 is: 490,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,529.60 : 494,294.40 = 327,196.80 : x
  2. Step 2: Convert to fraction form
    329,529.60/494,294.40 = 327,196.80/x
  3. Step 3: Cross multiply
    329,529.60x = 494,294.40 × 327,196.80
  4. Step 4: Simplify right side
    329,529.60x = 161,731,545,937.92
  5. Step 5: Solve for x
    x = 161,731,545,937.92/329,529.60
  6. Step 6: Final answer
    x = 490,795.20

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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.