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Finding the Fourth Proportional to 361,004.92, 498,186.91 and 197,671.78

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Solution

The fourth proportional to 361,004.92, 498,186.91 and 197,671.78 is: 272,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,004.92 : 498,186.91 = 197,671.78 : x
  2. Step 2: Convert to fraction form
    361,004.92/498,186.91 = 197,671.78/x
  3. Step 3: Cross multiply
    361,004.92x = 498,186.91 × 197,671.78
  4. Step 4: Simplify right side
    361,004.92x = 98,477,491,157.11
  5. Step 5: Solve for x
    x = 98,477,491,157.11/361,004.92
  6. Step 6: Final answer
    x = 272,787.12

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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.