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Finding the Fourth Proportional to 358,213.28, 494,338.41 and 205,248.38

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Solution

The fourth proportional to 358,213.28, 494,338.41 and 205,248.38 is: 283,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,213.28 : 494,338.41 = 205,248.38 : x
  2. Step 2: Convert to fraction form
    358,213.28/494,338.41 = 205,248.38/x
  3. Step 3: Cross multiply
    358,213.28x = 494,338.41 × 205,248.38
  4. Step 4: Simplify right side
    358,213.28x = 101,462,155,352.58
  5. Step 5: Solve for x
    x = 101,462,155,352.58/358,213.28
  6. Step 6: Final answer
    x = 283,245.10

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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.