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Finding the Fourth Proportional to 380,412.75, 524,965.83 and 205,982.12

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Solution

The fourth proportional to 380,412.75, 524,965.83 and 205,982.12 is: 284,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,412.75 : 524,965.83 = 205,982.12 : x
  2. Step 2: Convert to fraction form
    380,412.75/524,965.83 = 205,982.12/x
  3. Step 3: Cross multiply
    380,412.75x = 524,965.83 × 205,982.12
  4. Step 4: Simplify right side
    380,412.75x = 108,133,571,966.13
  5. Step 5: Solve for x
    x = 108,133,571,966.13/380,412.75
  6. Step 6: Final answer
    x = 284,253.28

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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.