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Finding the Fourth Proportional to 396,965.80, 595,448.70 and 377,282.80

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Solution

The fourth proportional to 396,965.80, 595,448.70 and 377,282.80 is: 565,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,965.80 : 595,448.70 = 377,282.80 : x
  2. Step 2: Convert to fraction form
    396,965.80/595,448.70 = 377,282.80/x
  3. Step 3: Cross multiply
    396,965.80x = 595,448.70 × 377,282.80
  4. Step 4: Simplify right side
    396,965.80x = 224,652,552,792.36
  5. Step 5: Solve for x
    x = 224,652,552,792.36/396,965.80
  6. Step 6: Final answer
    x = 565,924.20

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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.