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Finding the Fourth Proportional to 329,106.46, 493,678.82 and 92,467.62

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Solution

The fourth proportional to 329,106.46, 493,678.82 and 92,467.62 is: 138,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,106.46 : 493,678.82 = 92,467.62 : x
  2. Step 2: Convert to fraction form
    329,106.46/493,678.82 = 92,467.62/x
  3. Step 3: Cross multiply
    329,106.46x = 493,678.82 × 92,467.62
  4. Step 4: Simplify right side
    329,106.46x = 45,649,305,529.81
  5. Step 5: Solve for x
    x = 45,649,305,529.81/329,106.46
  6. Step 6: Final answer
    x = 138,706.80

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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.