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Finding the Fourth Proportional to 298,141.52, 411,619.08 and 205,167.44

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Solution

The fourth proportional to 298,141.52, 411,619.08 and 205,167.44 is: 283,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,141.52 : 411,619.08 = 205,167.44 : x
  2. Step 2: Convert to fraction form
    298,141.52/411,619.08 = 205,167.44/x
  3. Step 3: Cross multiply
    298,141.52x = 411,619.08 × 205,167.44
  4. Step 4: Simplify right side
    298,141.52x = 84,450,832,898.76
  5. Step 5: Solve for x
    x = 84,450,832,898.76/298,141.52
  6. Step 6: Final answer
    x = 283,257.54

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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.