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Finding the Fourth Proportional to 380,414.49, 524,965.56 and 210,644.97

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Solution

The fourth proportional to 380,414.49, 524,965.56 and 210,644.97 is: 290,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,414.49 : 524,965.56 = 210,644.97 : x
  2. Step 2: Convert to fraction form
    380,414.49/524,965.56 = 210,644.97/x
  3. Step 3: Cross multiply
    380,414.49x = 524,965.56 × 210,644.97
  4. Step 4: Simplify right side
    380,414.49x = 110,581,354,637.23
  5. Step 5: Solve for x
    x = 110,581,354,637.23/380,414.49
  6. Step 6: Final answer
    x = 290,686.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.