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Finding the Fourth Proportional to 329,583, 454,824.54 and 178,680

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Solution

The fourth proportional to 329,583, 454,824.54 and 178,680 is: 246,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,583 : 454,824.54 = 178,680 : x
  2. Step 2: Convert to fraction form
    329,583/454,824.54 = 178,680/x
  3. Step 3: Cross multiply
    329,583x = 454,824.54 × 178,680
  4. Step 4: Simplify right side
    329,583x = 81,268,048,807.20
  5. Step 5: Solve for x
    x = 81,268,048,807.20/329,583
  6. Step 6: Final answer
    x = 246,578.40

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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.