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Finding the Fourth Proportional to 396,947.09, 595,624.40 and 194,539.40

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Solution

The fourth proportional to 396,947.09, 595,624.40 and 194,539.40 is: 291,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,947.09 : 595,624.40 = 194,539.40 : x
  2. Step 2: Convert to fraction form
    396,947.09/595,624.40 = 194,539.40/x
  3. Step 3: Cross multiply
    396,947.09x = 595,624.40 × 194,539.40
  4. Step 4: Simplify right side
    396,947.09x = 115,872,413,401.36
  5. Step 5: Solve for x
    x = 115,872,413,401.36/396,947.09
  6. Step 6: Final answer
    x = 291,908.96

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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.