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Finding the Fourth Proportional to 329,822.70, 494,734.05 and 296,580.30

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Solution

The fourth proportional to 329,822.70, 494,734.05 and 296,580.30 is: 444,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,822.70 : 494,734.05 = 296,580.30 : x
  2. Step 2: Convert to fraction form
    329,822.70/494,734.05 = 296,580.30/x
  3. Step 3: Cross multiply
    329,822.70x = 494,734.05 × 296,580.30
  4. Step 4: Simplify right side
    329,822.70x = 146,728,372,969.22
  5. Step 5: Solve for x
    x = 146,728,372,969.22/329,822.70
  6. Step 6: Final answer
    x = 444,870.45

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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.