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Finding the Fourth Proportional to 329,510.50, 494,268.38 and 215,754.20

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Solution

The fourth proportional to 329,510.50, 494,268.38 and 215,754.20 is: 323,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,510.50 : 494,268.38 = 215,754.20 : x
  2. Step 2: Convert to fraction form
    329,510.50/494,268.38 = 215,754.20/x
  3. Step 3: Cross multiply
    329,510.50x = 494,268.38 × 215,754.20
  4. Step 4: Simplify right side
    329,510.50x = 106,640,478,024.67
  5. Step 5: Solve for x
    x = 106,640,478,024.67/329,510.50
  6. Step 6: Final answer
    x = 323,633.02

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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.