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Finding the Fourth Proportional to 358,022.52, 494,074.65 and 196,878.72

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Solution

The fourth proportional to 358,022.52, 494,074.65 and 196,878.72 is: 271,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,022.52 : 494,074.65 = 196,878.72 : x
  2. Step 2: Convert to fraction form
    358,022.52/494,074.65 = 196,878.72/x
  3. Step 3: Cross multiply
    358,022.52x = 494,074.65 × 196,878.72
  4. Step 4: Simplify right side
    358,022.52x = 97,272,784,676.45
  5. Step 5: Solve for x
    x = 97,272,784,676.45/358,022.52
  6. Step 6: Final answer
    x = 271,694.60

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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.