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Finding the Fourth Proportional to 329,003.16, 454,027.47 and 193,039.41

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Solution

The fourth proportional to 329,003.16, 454,027.47 and 193,039.41 is: 266,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,003.16 : 454,027.47 = 193,039.41 : x
  2. Step 2: Convert to fraction form
    329,003.16/454,027.47 = 193,039.41/x
  3. Step 3: Cross multiply
    329,003.16x = 454,027.47 × 193,039.41
  4. Step 4: Simplify right side
    329,003.16x = 87,645,194,932.59
  5. Step 5: Solve for x
    x = 87,645,194,932.59/329,003.16
  6. Step 6: Final answer
    x = 266,396.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.