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Finding the Fourth Proportional to 382,546.49, 527,893.01 and 212,769.68

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Solution

The fourth proportional to 382,546.49, 527,893.01 and 212,769.68 is: 293,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,546.49 : 527,893.01 = 212,769.68 : x
  2. Step 2: Convert to fraction form
    382,546.49/527,893.01 = 212,769.68/x
  3. Step 3: Cross multiply
    382,546.49x = 527,893.01 × 212,769.68
  4. Step 4: Simplify right side
    382,546.49x = 112,319,623,108.62
  5. Step 5: Solve for x
    x = 112,319,623,108.62/382,546.49
  6. Step 6: Final answer
    x = 293,610.39

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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.