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Finding the Fourth Proportional to 298,097.52, 411,558.36 and 205,123.20

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Solution

The fourth proportional to 298,097.52, 411,558.36 and 205,123.20 is: 283,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,097.52 : 411,558.36 = 205,123.20 : x
  2. Step 2: Convert to fraction form
    298,097.52/411,558.36 = 205,123.20/x
  3. Step 3: Cross multiply
    298,097.52x = 411,558.36 × 205,123.20
  4. Step 4: Simplify right side
    298,097.52x = 84,420,167,789.95
  5. Step 5: Solve for x
    x = 84,420,167,789.95/298,097.52
  6. Step 6: Final answer
    x = 283,196.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.