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Finding the Fourth Proportional to 329,854.20, 494,125.20 and 306,234.60

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Solution

The fourth proportional to 329,854.20, 494,125.20 and 306,234.60 is: 458,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,854.20 : 494,125.20 = 306,234.60 : x
  2. Step 2: Convert to fraction form
    329,854.20/494,125.20 = 306,234.60/x
  3. Step 3: Cross multiply
    329,854.20x = 494,125.20 × 306,234.60
  4. Step 4: Simplify right side
    329,854.20x = 151,318,232,971.92
  5. Step 5: Solve for x
    x = 151,318,232,971.92/329,854.20
  6. Step 6: Final answer
    x = 458,742.78

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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.