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Finding the Fourth Proportional to 329,204.46, 454,135.23 and 208,141.86

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Solution

The fourth proportional to 329,204.46, 454,135.23 and 208,141.86 is: 287,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,204.46 : 454,135.23 = 208,141.86 : x
  2. Step 2: Convert to fraction form
    329,204.46/454,135.23 = 208,141.86/x
  3. Step 3: Cross multiply
    329,204.46x = 454,135.23 × 208,141.86
  4. Step 4: Simplify right side
    329,204.46x = 94,524,551,463.73
  5. Step 5: Solve for x
    x = 94,524,551,463.73/329,204.46
  6. Step 6: Final answer
    x = 287,130.23

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