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Finding the Fourth Proportional to 329,707.84, 494,560.52 and 119,296.56

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Solution

The fourth proportional to 329,707.84, 494,560.52 and 119,296.56 is: 178,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,707.84 : 494,560.52 = 119,296.56 : x
  2. Step 2: Convert to fraction form
    329,707.84/494,560.52 = 119,296.56/x
  3. Step 3: Cross multiply
    329,707.84x = 494,560.52 × 119,296.56
  4. Step 4: Simplify right side
    329,707.84x = 58,999,368,747.81
  5. Step 5: Solve for x
    x = 58,999,368,747.81/329,707.84
  6. Step 6: Final answer
    x = 178,944.39

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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.