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Finding the Fourth Proportional to 298,016.10, 411,414.59 and 229,880.12

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Solution

The fourth proportional to 298,016.10, 411,414.59 and 229,880.12 is: 317,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,016.10 : 411,414.59 = 229,880.12 : x
  2. Step 2: Convert to fraction form
    298,016.10/411,414.59 = 229,880.12/x
  3. Step 3: Cross multiply
    298,016.10x = 411,414.59 × 229,880.12
  4. Step 4: Simplify right side
    298,016.10x = 94,576,032,112.48
  5. Step 5: Solve for x
    x = 94,576,032,112.48/298,016.10
  6. Step 6: Final answer
    x = 317,352.09

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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.