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Finding the Fourth Proportional to 219,916.40, 329,874.60 and 200,233.40

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Solution

The fourth proportional to 219,916.40, 329,874.60 and 200,233.40 is: 300,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,916.40 : 329,874.60 = 200,233.40 : x
  2. Step 2: Convert to fraction form
    219,916.40/329,874.60 = 200,233.40/x
  3. Step 3: Cross multiply
    219,916.40x = 329,874.60 × 200,233.40
  4. Step 4: Simplify right side
    219,916.40x = 66,051,912,731.64
  5. Step 5: Solve for x
    x = 66,051,912,731.64/219,916.40
  6. Step 6: Final answer
    x = 300,350.10

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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.