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Finding the Fourth Proportional to 382,078.30, 527,242.44 and 209,992.54

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Solution

The fourth proportional to 382,078.30, 527,242.44 and 209,992.54 is: 289,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,078.30 : 527,242.44 = 209,992.54 : x
  2. Step 2: Convert to fraction form
    382,078.30/527,242.44 = 209,992.54/x
  3. Step 3: Cross multiply
    382,078.30x = 527,242.44 × 209,992.54
  4. Step 4: Simplify right side
    382,078.30x = 110,716,979,171.40
  5. Step 5: Solve for x
    x = 110,716,979,171.40/382,078.30
  6. Step 6: Final answer
    x = 289,775.63

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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.