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Finding the Fourth Proportional to 380,419.92, 524,980.17 and 205,992.09

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Solution

The fourth proportional to 380,419.92, 524,980.17 and 205,992.09 is: 284,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,419.92 : 524,980.17 = 205,992.09 : x
  2. Step 2: Convert to fraction form
    380,419.92/524,980.17 = 205,992.09/x
  3. Step 3: Cross multiply
    380,419.92x = 524,980.17 × 205,992.09
  4. Step 4: Simplify right side
    380,419.92x = 108,141,762,426.86
  5. Step 5: Solve for x
    x = 108,141,762,426.86/380,419.92
  6. Step 6: Final answer
    x = 284,269.45

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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.