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Finding the Fourth Proportional to 329,755.71, 494,090.23 and 302,179.01

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Solution

The fourth proportional to 329,755.71, 494,090.23 and 302,179.01 is: 452,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,755.71 : 494,090.23 = 302,179.01 : x
  2. Step 2: Convert to fraction form
    329,755.71/494,090.23 = 302,179.01/x
  3. Step 3: Cross multiply
    329,755.71x = 494,090.23 × 302,179.01
  4. Step 4: Simplify right side
    329,755.71x = 149,303,693,892.76
  5. Step 5: Solve for x
    x = 149,303,693,892.76/329,755.71
  6. Step 6: Final answer
    x = 452,770.61

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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.