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Finding the Fourth Proportional to 396,429.82, 594,639.52 and 96,913.02

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Solution

The fourth proportional to 396,429.82, 594,639.52 and 96,913.02 is: 145,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,429.82 : 594,639.52 = 96,913.02 : x
  2. Step 2: Convert to fraction form
    396,429.82/594,639.52 = 96,913.02/x
  3. Step 3: Cross multiply
    396,429.82x = 594,639.52 × 96,913.02
  4. Step 4: Simplify right side
    396,429.82x = 57,628,311,694.55
  5. Step 5: Solve for x
    x = 57,628,311,694.55/396,429.82
  6. Step 6: Final answer
    x = 145,368.26

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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.