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Finding the Fourth Proportional to 329,165.42, 493,697.70 and 104,496.53

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Solution

The fourth proportional to 329,165.42, 493,697.70 and 104,496.53 is: 156,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,165.42 : 493,697.70 = 104,496.53 : x
  2. Step 2: Convert to fraction form
    329,165.42/493,697.70 = 104,496.53/x
  3. Step 3: Cross multiply
    329,165.42x = 493,697.70 × 104,496.53
  4. Step 4: Simplify right side
    329,165.42x = 51,589,694,050.49
  5. Step 5: Solve for x
    x = 51,589,694,050.49/329,165.42
  6. Step 6: Final answer
    x = 156,728.78

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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.