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Finding the Fourth Proportional to 358,229.64, 494,300.55 and 205,238.34

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Solution

The fourth proportional to 358,229.64, 494,300.55 and 205,238.34 is: 283,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,229.64 : 494,300.55 = 205,238.34 : x
  2. Step 2: Convert to fraction form
    358,229.64/494,300.55 = 205,238.34/x
  3. Step 3: Cross multiply
    358,229.64x = 494,300.55 × 205,238.34
  4. Step 4: Simplify right side
    358,229.64x = 101,449,424,343.09
  5. Step 5: Solve for x
    x = 101,449,424,343.09/358,229.64
  6. Step 6: Final answer
    x = 283,196.62

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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.