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Finding the Fourth Proportional to 411,326.64, 616,951.08 and 130,794.48

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Solution

The fourth proportional to 411,326.64, 616,951.08 and 130,794.48 is: 196,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,326.64 : 616,951.08 = 130,794.48 : x
  2. Step 2: Convert to fraction form
    411,326.64/616,951.08 = 130,794.48/x
  3. Step 3: Cross multiply
    411,326.64x = 616,951.08 × 130,794.48
  4. Step 4: Simplify right side
    411,326.64x = 80,693,795,694.04
  5. Step 5: Solve for x
    x = 80,693,795,694.04/411,326.64
  6. Step 6: Final answer
    x = 196,179.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.