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Finding the Fourth Proportional to 396,913.80, 593,912.70 and 291,937.80

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Solution

The fourth proportional to 396,913.80, 593,912.70 and 291,937.80 is: 436,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,913.80 : 593,912.70 = 291,937.80 : x
  2. Step 2: Convert to fraction form
    396,913.80/593,912.70 = 291,937.80/x
  3. Step 3: Cross multiply
    396,913.80x = 593,912.70 × 291,937.80
  4. Step 4: Simplify right side
    396,913.80x = 173,385,567,030.06
  5. Step 5: Solve for x
    x = 173,385,567,030.06/396,913.80
  6. Step 6: Final answer
    x = 436,834.31

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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.