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Finding the Fourth Proportional to 329,725.17, 494,578.47 and 105,099.08

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Solution

The fourth proportional to 329,725.17, 494,578.47 and 105,099.08 is: 157,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,725.17 : 494,578.47 = 105,099.08 : x
  2. Step 2: Convert to fraction form
    329,725.17/494,578.47 = 105,099.08/x
  3. Step 3: Cross multiply
    329,725.17x = 494,578.47 × 105,099.08
  4. Step 4: Simplify right side
    329,725.17x = 51,979,739,711.92
  5. Step 5: Solve for x
    x = 51,979,739,711.92/329,725.17
  6. Step 6: Final answer
    x = 157,645.65

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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.