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Finding the Fourth Proportional to 396,904.60, 595,356.90 and 186,952.60

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Solution

The fourth proportional to 396,904.60, 595,356.90 and 186,952.60 is: 280,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,904.60 : 595,356.90 = 186,952.60 : x
  2. Step 2: Convert to fraction form
    396,904.60/595,356.90 = 186,952.60/x
  3. Step 3: Cross multiply
    396,904.60x = 595,356.90 × 186,952.60
  4. Step 4: Simplify right side
    396,904.60x = 111,303,520,382.94
  5. Step 5: Solve for x
    x = 111,303,520,382.94/396,904.60
  6. Step 6: Final answer
    x = 280,428.90

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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.