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Finding the Fourth Proportional to 329,825.70, 494,738.55 and 290,427.30

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Solution

The fourth proportional to 329,825.70, 494,738.55 and 290,427.30 is: 435,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,825.70 : 494,738.55 = 290,427.30 : x
  2. Step 2: Convert to fraction form
    329,825.70/494,738.55 = 290,427.30/x
  3. Step 3: Cross multiply
    329,825.70x = 494,738.55 × 290,427.30
  4. Step 4: Simplify right side
    329,825.70x = 143,685,581,282.42
  5. Step 5: Solve for x
    x = 143,685,581,282.42/329,825.70
  6. Step 6: Final answer
    x = 435,640.95

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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.