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Finding the Fourth Proportional to 330,122.30, 494,375.86 and 298,173.14

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Solution

The fourth proportional to 330,122.30, 494,375.86 and 298,173.14 is: 446,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,122.30 : 494,375.86 = 298,173.14 : x
  2. Step 2: Convert to fraction form
    330,122.30/494,375.86 = 298,173.14/x
  3. Step 3: Cross multiply
    330,122.30x = 494,375.86 × 298,173.14
  4. Step 4: Simplify right side
    330,122.30x = 147,409,602,516.40
  5. Step 5: Solve for x
    x = 147,409,602,516.40/330,122.30
  6. Step 6: Final answer
    x = 446,530.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.