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Finding the Fourth Proportional to 329,165.17, 493,697.30 and 104,496.48

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Solution

The fourth proportional to 329,165.17, 493,697.30 and 104,496.48 is: 156,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,165.17 : 493,697.30 = 104,496.48 : x
  2. Step 2: Convert to fraction form
    329,165.17/493,697.30 = 104,496.48/x
  3. Step 3: Cross multiply
    329,165.17x = 493,697.30 × 104,496.48
  4. Step 4: Simplify right side
    329,165.17x = 51,589,629,513.02
  5. Step 5: Solve for x
    x = 51,589,629,513.02/329,165.17
  6. Step 6: Final answer
    x = 156,728.70

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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.