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Finding the Fourth Proportional to 396,265.50, 594,485.73 and 146,947.50

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Solution

The fourth proportional to 396,265.50, 594,485.73 and 146,947.50 is: 220,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,265.50 : 594,485.73 = 146,947.50 : x
  2. Step 2: Convert to fraction form
    396,265.50/594,485.73 = 146,947.50/x
  3. Step 3: Cross multiply
    396,265.50x = 594,485.73 × 146,947.50
  4. Step 4: Simplify right side
    396,265.50x = 87,358,191,809.18
  5. Step 5: Solve for x
    x = 87,358,191,809.18/396,265.50
  6. Step 6: Final answer
    x = 220,453.69

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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.