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Finding the Fourth Proportional to 329,000.82, 493,683.72 and 160,522.56

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Solution

The fourth proportional to 329,000.82, 493,683.72 and 160,522.56 is: 240,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000.82 : 493,683.72 = 160,522.56 : x
  2. Step 2: Convert to fraction form
    329,000.82/493,683.72 = 160,522.56/x
  3. Step 3: Cross multiply
    329,000.82x = 493,683.72 × 160,522.56
  4. Step 4: Simplify right side
    329,000.82x = 79,247,374,564.72
  5. Step 5: Solve for x
    x = 79,247,374,564.72/329,000.82
  6. Step 6: Final answer
    x = 240,872.88

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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.