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Finding the Fourth Proportional to 557,348.50, 769,284.03 and 339,704.74

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Solution

The fourth proportional to 557,348.50, 769,284.03 and 339,704.74 is: 468,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,348.50 : 769,284.03 = 339,704.74 : x
  2. Step 2: Convert to fraction form
    557,348.50/769,284.03 = 339,704.74/x
  3. Step 3: Cross multiply
    557,348.50x = 769,284.03 × 339,704.74
  4. Step 4: Simplify right side
    557,348.50x = 261,329,431,397.30
  5. Step 5: Solve for x
    x = 261,329,431,397.30/557,348.50
  6. Step 6: Final answer
    x = 468,879.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.