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Finding the Fourth Proportional to 329,713.85, 494,027.37 and 302,137.10

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Solution

The fourth proportional to 329,713.85, 494,027.37 and 302,137.10 is: 452,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,713.85 : 494,027.37 = 302,137.10 : x
  2. Step 2: Convert to fraction form
    329,713.85/494,027.37 = 302,137.10/x
  3. Step 3: Cross multiply
    329,713.85x = 494,027.37 × 302,137.10
  4. Step 4: Simplify right side
    329,713.85x = 149,263,996,274.89
  5. Step 5: Solve for x
    x = 149,263,996,274.89/329,713.85
  6. Step 6: Final answer
    x = 452,707.69

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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.