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Finding the Fourth Proportional to 358,517.96, 494,744.46 and 205,551.08

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Solution

The fourth proportional to 358,517.96, 494,744.46 and 205,551.08 is: 283,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,517.96 : 494,744.46 = 205,551.08 : x
  2. Step 2: Convert to fraction form
    358,517.96/494,744.46 = 205,551.08/x
  3. Step 3: Cross multiply
    358,517.96x = 494,744.46 × 205,551.08
  4. Step 4: Simplify right side
    358,517.96x = 101,695,258,077.02
  5. Step 5: Solve for x
    x = 101,695,258,077.02/358,517.96
  6. Step 6: Final answer
    x = 283,654.57

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Why These Related Problems?

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