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Finding the Fourth Proportional to 339,843.84, 468,996.54 and 186,893.67

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Solution

The fourth proportional to 339,843.84, 468,996.54 and 186,893.67 is: 257,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,843.84 : 468,996.54 = 186,893.67 : x
  2. Step 2: Convert to fraction form
    339,843.84/468,996.54 = 186,893.67/x
  3. Step 3: Cross multiply
    339,843.84x = 468,996.54 × 186,893.67
  4. Step 4: Simplify right side
    339,843.84x = 87,652,484,577.90
  5. Step 5: Solve for x
    x = 87,652,484,577.90/339,843.84
  6. Step 6: Final answer
    x = 257,919.89

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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.