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Finding the Fourth Proportional to 377,371.50, 565,891.20 and 199,837.08

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Solution

The fourth proportional to 377,371.50, 565,891.20 and 199,837.08 is: 299,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,371.50 : 565,891.20 = 199,837.08 : x
  2. Step 2: Convert to fraction form
    377,371.50/565,891.20 = 199,837.08/x
  3. Step 3: Cross multiply
    377,371.50x = 565,891.20 × 199,837.08
  4. Step 4: Simplify right side
    377,371.50x = 113,086,045,005.70
  5. Step 5: Solve for x
    x = 113,086,045,005.70/377,371.50
  6. Step 6: Final answer
    x = 299,667.69

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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.