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Finding the Fourth Proportional to 358,048.11, 494,119.40 and 205,115.86

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Solution

The fourth proportional to 358,048.11, 494,119.40 and 205,115.86 is: 283,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,048.11 : 494,119.40 = 205,115.86 : x
  2. Step 2: Convert to fraction form
    358,048.11/494,119.40 = 205,115.86/x
  3. Step 3: Cross multiply
    358,048.11x = 494,119.40 × 205,115.86
  4. Step 4: Simplify right side
    358,048.11x = 101,351,725,673.68
  5. Step 5: Solve for x
    x = 101,351,725,673.68/358,048.11
  6. Step 6: Final answer
    x = 283,067.34

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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.