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Finding the Fourth Proportional to 309,379.63, 463,938.22 and 109,750.27

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Solution

The fourth proportional to 309,379.63, 463,938.22 and 109,750.27 is: 164,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,379.63 : 463,938.22 = 109,750.27 : x
  2. Step 2: Convert to fraction form
    309,379.63/463,938.22 = 109,750.27/x
  3. Step 3: Cross multiply
    309,379.63x = 463,938.22 × 109,750.27
  4. Step 4: Simplify right side
    309,379.63x = 50,917,344,908.32
  5. Step 5: Solve for x
    x = 50,917,344,908.32/309,379.63
  6. Step 6: Final answer
    x = 164,578.85

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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.