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Finding the Fourth Proportional to 382,365.36, 527,661 and 212,598

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Solution

The fourth proportional to 382,365.36, 527,661 and 212,598 is: 293,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,365.36 : 527,661 = 212,598 : x
  2. Step 2: Convert to fraction form
    382,365.36/527,661 = 212,598/x
  3. Step 3: Cross multiply
    382,365.36x = 527,661 × 212,598
  4. Step 4: Simplify right side
    382,365.36x = 112,179,673,278
  5. Step 5: Solve for x
    x = 112,179,673,278/382,365.36
  6. Step 6: Final answer
    x = 293,383.46

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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.