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Finding the Fourth Proportional to 396,196.76, 594,382.61 and 146,878.76

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Solution

The fourth proportional to 396,196.76, 594,382.61 and 146,878.76 is: 220,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,196.76 : 594,382.61 = 146,878.76 : x
  2. Step 2: Convert to fraction form
    396,196.76/594,382.61 = 146,878.76/x
  3. Step 3: Cross multiply
    396,196.76x = 594,382.61 × 146,878.76
  4. Step 4: Simplify right side
    396,196.76x = 87,302,180,722.36
  5. Step 5: Solve for x
    x = 87,302,180,722.36/396,196.76
  6. Step 6: Final answer
    x = 220,350.57

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1.5x scale

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.