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Finding the Fourth Proportional to 361,045.89, 498,251.09 and 197,709.28

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Solution

The fourth proportional to 361,045.89, 498,251.09 and 197,709.28 is: 272,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,045.89 : 498,251.09 = 197,709.28 : x
  2. Step 2: Convert to fraction form
    361,045.89/498,251.09 = 197,709.28/x
  3. Step 3: Cross multiply
    361,045.89x = 498,251.09 × 197,709.28
  4. Step 4: Simplify right side
    361,045.89x = 98,508,863,511.76
  5. Step 5: Solve for x
    x = 98,508,863,511.76/361,045.89
  6. Step 6: Final answer
    x = 272,843.05

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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.