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Finding the Fourth Proportional to 454,678.50, 627,195.88 and 284,617.38

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Solution

The fourth proportional to 454,678.50, 627,195.88 and 284,617.38 is: 392,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,678.50 : 627,195.88 = 284,617.38 : x
  2. Step 2: Convert to fraction form
    454,678.50/627,195.88 = 284,617.38/x
  3. Step 3: Cross multiply
    454,678.50x = 627,195.88 × 284,617.38
  4. Step 4: Simplify right side
    454,678.50x = 178,510,848,112.39
  5. Step 5: Solve for x
    x = 178,510,848,112.39/454,678.50
  6. Step 6: Final answer
    x = 392,608.95

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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.