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Finding the Fourth Proportional to 329,063.77, 493,533.20 and 160,414.48

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Solution

The fourth proportional to 329,063.77, 493,533.20 and 160,414.48 is: 240,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,063.77 : 493,533.20 = 160,414.48 : x
  2. Step 2: Convert to fraction form
    329,063.77/493,533.20 = 160,414.48/x
  3. Step 3: Cross multiply
    329,063.77x = 493,533.20 × 160,414.48
  4. Step 4: Simplify right side
    329,063.77x = 79,169,869,882.56
  5. Step 5: Solve for x
    x = 79,169,869,882.56/329,063.77
  6. Step 6: Final answer
    x = 240,591.27

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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.